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Finding the Third Proportional to 568,716 and 865,362

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Solution

The third proportional to 568,716 and 865,362 is: 1,316,740.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,716 : 865,362 = 865,362 : x
  2. Step 2: Convert to fraction form
    568,716/865,362 = 865,362/x
  3. Step 3: Cross multiply
    568,716x = 865,362 × 865,362
  4. Step 4: Simplify right side
    568,716x = 748,851,391,044
  5. Step 5: Solve for x
    x = 748,851,391,044/568,716
  6. Step 6: Final answer
    x = 1,316,740.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.