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Finding the Third Proportional to 406,540 and 595,230

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Solution

The third proportional to 406,540 and 595,230 is: 871,497.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,540 : 595,230 = 595,230 : x
  2. Step 2: Convert to fraction form
    406,540/595,230 = 595,230/x
  3. Step 3: Cross multiply
    406,540x = 595,230 × 595,230
  4. Step 4: Simplify right side
    406,540x = 354,298,752,900
  5. Step 5: Solve for x
    x = 354,298,752,900/406,540
  6. Step 6: Final answer
    x = 871,497.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.