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Finding the Third Proportional to 563,418 and 872,464

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Solution

The third proportional to 563,418 and 872,464 is: 1,351,027.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,418 : 872,464 = 872,464 : x
  2. Step 2: Convert to fraction form
    563,418/872,464 = 872,464/x
  3. Step 3: Cross multiply
    563,418x = 872,464 × 872,464
  4. Step 4: Simplify right side
    563,418x = 761,193,431,296
  5. Step 5: Solve for x
    x = 761,193,431,296/563,418
  6. Step 6: Final answer
    x = 1,351,027.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.