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Finding the Third Proportional to 510,682 and 715,614

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Solution

The third proportional to 510,682 and 715,614 is: 1,002,783.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,682 : 715,614 = 715,614 : x
  2. Step 2: Convert to fraction form
    510,682/715,614 = 715,614/x
  3. Step 3: Cross multiply
    510,682x = 715,614 × 715,614
  4. Step 4: Simplify right side
    510,682x = 512,103,396,996
  5. Step 5: Solve for x
    x = 512,103,396,996/510,682
  6. Step 6: Final answer
    x = 1,002,783.33

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Why These Related Problems?

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