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Finding the Third Proportional to 510,606 and 715,522.50

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Solution

The third proportional to 510,606 and 715,522.50 is: 1,002,676.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,606 : 715,522.50 = 715,522.50 : x
  2. Step 2: Convert to fraction form
    510,606/715,522.50 = 715,522.50/x
  3. Step 3: Cross multiply
    510,606x = 715,522.50 × 715,522.50
  4. Step 4: Simplify right side
    510,606x = 511,972,448,006.25
  5. Step 5: Solve for x
    x = 511,972,448,006.25/510,606
  6. Step 6: Final answer
    x = 1,002,676.13

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.