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Finding the Third Proportional to 402,536 and 592,136

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Solution

The third proportional to 402,536 and 592,136 is: 871,040.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,536 : 592,136 = 592,136 : x
  2. Step 2: Convert to fraction form
    402,536/592,136 = 592,136/x
  3. Step 3: Cross multiply
    402,536x = 592,136 × 592,136
  4. Step 4: Simplify right side
    402,536x = 350,625,042,496
  5. Step 5: Solve for x
    x = 350,625,042,496/402,536
  6. Step 6: Final answer
    x = 871,040.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.