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Finding the Third Proportional to 572,771 and 866,393

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Solution

The third proportional to 572,771 and 866,393 is: 1,310,535.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,771 : 866,393 = 866,393 : x
  2. Step 2: Convert to fraction form
    572,771/866,393 = 866,393/x
  3. Step 3: Cross multiply
    572,771x = 866,393 × 866,393
  4. Step 4: Simplify right side
    572,771x = 750,636,830,449
  5. Step 5: Solve for x
    x = 750,636,830,449/572,771
  6. Step 6: Final answer
    x = 1,310,535.68

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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.