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Finding the Third Proportional to 494,588,974.50 and 765,125,743.50

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Solution

The third proportional to 494,588,974.50 and 765,125,743.50 is: 1,183,644,265.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,588,974.50 : 765,125,743.50 = 765,125,743.50 : x
  2. Step 2: Convert to fraction form
    494,588,974.50/765,125,743.50 = 765,125,743.50/x
  3. Step 3: Cross multiply
    494,588,974.50x = 765,125,743.50 × 765,125,743.50
  4. Step 4: Simplify right side
    494,588,974.50x = 585,417,403,366,427,776
  5. Step 5: Solve for x
    x = 585,417,403,366,427,776/494,588,974.50
  6. Step 6: Final answer
    x = 1,183,644,265.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.