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Finding the Third Proportional to 420,565.50 and 922,554

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Solution

The third proportional to 420,565.50 and 922,554 is: 2,023,717.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,565.50 : 922,554 = 922,554 : x
  2. Step 2: Convert to fraction form
    420,565.50/922,554 = 922,554/x
  3. Step 3: Cross multiply
    420,565.50x = 922,554 × 922,554
  4. Step 4: Simplify right side
    420,565.50x = 851,105,882,916
  5. Step 5: Solve for x
    x = 851,105,882,916/420,565.50
  6. Step 6: Final answer
    x = 2,023,717.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.