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Finding the Third Proportional to 210,359.38 and 458,793.13

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Solution

The third proportional to 210,359.38 and 458,793.13 is: 1,000,626.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,359.38 : 458,793.13 = 458,793.13 : x
  2. Step 2: Convert to fraction form
    210,359.38/458,793.13 = 458,793.13/x
  3. Step 3: Cross multiply
    210,359.38x = 458,793.13 × 458,793.13
  4. Step 4: Simplify right side
    210,359.38x = 210,491,131,547.27
  5. Step 5: Solve for x
    x = 210,491,131,547.27/210,359.38
  6. Step 6: Final answer
    x = 1,000,626.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.