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Finding the Third Proportional to 460,127.25 and 658,644.75

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Solution

The third proportional to 460,127.25 and 658,644.75 is: 942,810.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,127.25 : 658,644.75 = 658,644.75 : x
  2. Step 2: Convert to fraction form
    460,127.25/658,644.75 = 658,644.75/x
  3. Step 3: Cross multiply
    460,127.25x = 658,644.75 × 658,644.75
  4. Step 4: Simplify right side
    460,127.25x = 433,812,906,702.56
  5. Step 5: Solve for x
    x = 433,812,906,702.56/460,127.25
  6. Step 6: Final answer
    x = 942,810.73

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.