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Finding the Third Proportional to 315,792 and 457,103.25

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Solution

The third proportional to 315,792 and 457,103.25 is: 661,648.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,792 : 457,103.25 = 457,103.25 : x
  2. Step 2: Convert to fraction form
    315,792/457,103.25 = 457,103.25/x
  3. Step 3: Cross multiply
    315,792x = 457,103.25 × 457,103.25
  4. Step 4: Simplify right side
    315,792x = 208,943,381,160.56
  5. Step 5: Solve for x
    x = 208,943,381,160.56/315,792
  6. Step 6: Final answer
    x = 661,648.75

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