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Finding the Third Proportional to 350,680 and 501,436

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Solution

The third proportional to 350,680 and 501,436 is: 717,001.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,680 : 501,436 = 501,436 : x
  2. Step 2: Convert to fraction form
    350,680/501,436 = 501,436/x
  3. Step 3: Cross multiply
    350,680x = 501,436 × 501,436
  4. Step 4: Simplify right side
    350,680x = 251,438,062,096
  5. Step 5: Solve for x
    x = 251,438,062,096/350,680
  6. Step 6: Final answer
    x = 717,001.43

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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.