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Finding the Third Proportional to 510,610 and 715,528

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Solution

The third proportional to 510,610 and 715,528 is: 1,002,683.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,610 : 715,528 = 715,528 : x
  2. Step 2: Convert to fraction form
    510,610/715,528 = 715,528/x
  3. Step 3: Cross multiply
    510,610x = 715,528 × 715,528
  4. Step 4: Simplify right side
    510,610x = 511,980,318,784
  5. Step 5: Solve for x
    x = 511,980,318,784/510,610
  6. Step 6: Final answer
    x = 1,002,683.69

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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.