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Finding the Third Proportional to 406,540.13 and 595,230.19

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Solution

The third proportional to 406,540.13 and 595,230.19 is: 871,498.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,540.13 : 595,230.19 = 595,230.19 : x
  2. Step 2: Convert to fraction form
    406,540.13/595,230.19 = 595,230.19/x
  3. Step 3: Cross multiply
    406,540.13x = 595,230.19 × 595,230.19
  4. Step 4: Simplify right side
    406,540.13x = 354,298,976,111.29
  5. Step 5: Solve for x
    x = 354,298,976,111.29/406,540.13
  6. Step 6: Final answer
    x = 871,498.17

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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.