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Finding the Third Proportional to 357,581.25 and 744,565.50

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Solution

The third proportional to 357,581.25 and 744,565.50 is: 1,550,354.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,581.25 : 744,565.50 = 744,565.50 : x
  2. Step 2: Convert to fraction form
    357,581.25/744,565.50 = 744,565.50/x
  3. Step 3: Cross multiply
    357,581.25x = 744,565.50 × 744,565.50
  4. Step 4: Simplify right side
    357,581.25x = 554,377,783,790.25
  5. Step 5: Solve for x
    x = 554,377,783,790.25/357,581.25
  6. Step 6: Final answer
    x = 1,550,354.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.