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Finding the Third Proportional to 497,029 and 765,089

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Solution

The third proportional to 497,029 and 765,089 is: 1,177,720.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,029 : 765,089 = 765,089 : x
  2. Step 2: Convert to fraction form
    497,029/765,089 = 765,089/x
  3. Step 3: Cross multiply
    497,029x = 765,089 × 765,089
  4. Step 4: Simplify right side
    497,029x = 585,361,177,921
  5. Step 5: Solve for x
    x = 585,361,177,921/497,029
  6. Step 6: Final answer
    x = 1,177,720.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.