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Finding the Third Proportional to 229,404 and 493,959

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Solution

The third proportional to 229,404 and 493,959 is: 1,063,606.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,404 : 493,959 = 493,959 : x
  2. Step 2: Convert to fraction form
    229,404/493,959 = 493,959/x
  3. Step 3: Cross multiply
    229,404x = 493,959 × 493,959
  4. Step 4: Simplify right side
    229,404x = 243,995,493,681
  5. Step 5: Solve for x
    x = 243,995,493,681/229,404
  6. Step 6: Final answer
    x = 1,063,606.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.