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Finding the Third Proportional to 398,592 and 592,212

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Solution

The third proportional to 398,592 and 592,212 is: 879,884.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,592 : 592,212 = 592,212 : x
  2. Step 2: Convert to fraction form
    398,592/592,212 = 592,212/x
  3. Step 3: Cross multiply
    398,592x = 592,212 × 592,212
  4. Step 4: Simplify right side
    398,592x = 350,715,052,944
  5. Step 5: Solve for x
    x = 350,715,052,944/398,592
  6. Step 6: Final answer
    x = 879,884.83

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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.