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Finding the Third Proportional to 398,742 and 592,353

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Solution

The third proportional to 398,742 and 592,353 is: 879,972.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,742 : 592,353 = 592,353 : x
  2. Step 2: Convert to fraction form
    398,742/592,353 = 592,353/x
  3. Step 3: Cross multiply
    398,742x = 592,353 × 592,353
  4. Step 4: Simplify right side
    398,742x = 350,882,076,609
  5. Step 5: Solve for x
    x = 350,882,076,609/398,742
  6. Step 6: Final answer
    x = 879,972.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.