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Finding the Third Proportional to 457,239 and 616,792.50

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Solution

The third proportional to 457,239 and 616,792.50 is: 832,022.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,239 : 616,792.50 = 616,792.50 : x
  2. Step 2: Convert to fraction form
    457,239/616,792.50 = 616,792.50/x
  3. Step 3: Cross multiply
    457,239x = 616,792.50 × 616,792.50
  4. Step 4: Simplify right side
    457,239x = 380,432,988,056.25
  5. Step 5: Solve for x
    x = 380,432,988,056.25/457,239
  6. Step 6: Final answer
    x = 832,022.18

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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.