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Finding the Third Proportional to 457,737.75 and 665,829

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Solution

The third proportional to 457,737.75 and 665,829 is: 968,520.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,737.75 : 665,829 = 665,829 : x
  2. Step 2: Convert to fraction form
    457,737.75/665,829 = 665,829/x
  3. Step 3: Cross multiply
    457,737.75x = 665,829 × 665,829
  4. Step 4: Simplify right side
    457,737.75x = 443,328,257,241
  5. Step 5: Solve for x
    x = 443,328,257,241/457,737.75
  6. Step 6: Final answer
    x = 968,520.20

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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.