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Finding the Third Proportional to 227,715 and 486,959

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Solution

The third proportional to 227,715 and 486,959 is: 1,041,341.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,715 : 486,959 = 486,959 : x
  2. Step 2: Convert to fraction form
    227,715/486,959 = 486,959/x
  3. Step 3: Cross multiply
    227,715x = 486,959 × 486,959
  4. Step 4: Simplify right side
    227,715x = 237,129,067,681
  5. Step 5: Solve for x
    x = 237,129,067,681/227,715
  6. Step 6: Final answer
    x = 1,041,341.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.