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Finding the Third Proportional to 457,240.50 and 616,794.75

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Solution

The third proportional to 457,240.50 and 616,794.75 is: 832,025.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,240.50 : 616,794.75 = 616,794.75 : x
  2. Step 2: Convert to fraction form
    457,240.50/616,794.75 = 616,794.75/x
  3. Step 3: Cross multiply
    457,240.50x = 616,794.75 × 616,794.75
  4. Step 4: Simplify right side
    457,240.50x = 380,435,763,627.56
  5. Step 5: Solve for x
    x = 380,435,763,627.56/457,240.50
  6. Step 6: Final answer
    x = 832,025.52

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.