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Finding the Third Proportional to 572,191 and 865,651

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Solution

The third proportional to 572,191 and 865,651 is: 1,309,618.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,191 : 865,651 = 865,651 : x
  2. Step 2: Convert to fraction form
    572,191/865,651 = 865,651/x
  3. Step 3: Cross multiply
    572,191x = 865,651 × 865,651
  4. Step 4: Simplify right side
    572,191x = 749,351,653,801
  5. Step 5: Solve for x
    x = 749,351,653,801/572,191
  6. Step 6: Final answer
    x = 1,309,618.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.