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Finding the Third Proportional to 472,892 and 663,562

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Solution

The third proportional to 472,892 and 663,562 is: 931,110.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,892 : 663,562 = 663,562 : x
  2. Step 2: Convert to fraction form
    472,892/663,562 = 663,562/x
  3. Step 3: Cross multiply
    472,892x = 663,562 × 663,562
  4. Step 4: Simplify right side
    472,892x = 440,314,527,844
  5. Step 5: Solve for x
    x = 440,314,527,844/472,892
  6. Step 6: Final answer
    x = 931,110.12

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.