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Finding the Third Proportional to 457,242 and 616,797

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Solution

The third proportional to 457,242 and 616,797 is: 832,028.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,242 : 616,797 = 616,797 : x
  2. Step 2: Convert to fraction form
    457,242/616,797 = 616,797/x
  3. Step 3: Cross multiply
    457,242x = 616,797 × 616,797
  4. Step 4: Simplify right side
    457,242x = 380,438,539,209
  5. Step 5: Solve for x
    x = 380,438,539,209/457,242
  6. Step 6: Final answer
    x = 832,028.86

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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.