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Finding the Third Proportional to 571,306,286.50 and 804,525,144

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Solution

The third proportional to 571,306,286.50 and 804,525,144 is: 1,132,948,687.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,306,286.50 : 804,525,144 = 804,525,144 : x
  2. Step 2: Convert to fraction form
    571,306,286.50/804,525,144 = 804,525,144/x
  3. Step 3: Cross multiply
    571,306,286.50x = 804,525,144 × 804,525,144
  4. Step 4: Simplify right side
    571,306,286.50x = 647,260,707,328,220,672
  5. Step 5: Solve for x
    x = 647,260,707,328,220,672/571,306,286.50
  6. Step 6: Final answer
    x = 1,132,948,687.29

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.