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Finding the Third Proportional to 563,313 and 864,654

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Solution

The third proportional to 563,313 and 864,654 is: 1,327,195.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,313 : 864,654 = 864,654 : x
  2. Step 2: Convert to fraction form
    563,313/864,654 = 864,654/x
  3. Step 3: Cross multiply
    563,313x = 864,654 × 864,654
  4. Step 4: Simplify right side
    563,313x = 747,626,539,716
  5. Step 5: Solve for x
    x = 747,626,539,716/563,313
  6. Step 6: Final answer
    x = 1,327,195.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.