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Finding the Third Proportional to 563,940 and 925,771

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Solution

The third proportional to 563,940 and 925,771 is: 1,519,757.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,940 : 925,771 = 925,771 : x
  2. Step 2: Convert to fraction form
    563,940/925,771 = 925,771/x
  3. Step 3: Cross multiply
    563,940x = 925,771 × 925,771
  4. Step 4: Simplify right side
    563,940x = 857,051,944,441
  5. Step 5: Solve for x
    x = 857,051,944,441/563,940
  6. Step 6: Final answer
    x = 1,519,757.32

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.