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Finding the Third Proportional to 402,524 and 592,120

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Solution

The third proportional to 402,524 and 592,120 is: 871,019.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,524 : 592,120 = 592,120 : x
  2. Step 2: Convert to fraction form
    402,524/592,120 = 592,120/x
  3. Step 3: Cross multiply
    402,524x = 592,120 × 592,120
  4. Step 4: Simplify right side
    402,524x = 350,606,094,400
  5. Step 5: Solve for x
    x = 350,606,094,400/402,524
  6. Step 6: Final answer
    x = 871,019.11

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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.