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Finding the Third Proportional to 457,241 and 616,795

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Solution

The third proportional to 457,241 and 616,795 is: 832,025.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,241 : 616,795 = 616,795 : x
  2. Step 2: Convert to fraction form
    457,241/616,795 = 616,795/x
  3. Step 3: Cross multiply
    457,241x = 616,795 × 616,795
  4. Step 4: Simplify right side
    457,241x = 380,436,072,025
  5. Step 5: Solve for x
    x = 380,436,072,025/457,241
  6. Step 6: Final answer
    x = 832,025.28

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Why These Related Problems?

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