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Finding the Third Proportional to 360,565.25 and 522,244.75

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Solution

The third proportional to 360,565.25 and 522,244.75 is: 756,422.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,565.25 : 522,244.75 = 522,244.75 : x
  2. Step 2: Convert to fraction form
    360,565.25/522,244.75 = 522,244.75/x
  3. Step 3: Cross multiply
    360,565.25x = 522,244.75 × 522,244.75
  4. Step 4: Simplify right side
    360,565.25x = 272,739,578,902.56
  5. Step 5: Solve for x
    x = 272,739,578,902.56/360,565.25
  6. Step 6: Final answer
    x = 756,422.25

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.