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Finding the Third Proportional to 229,098.38 and 493,678.13

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Solution

The third proportional to 229,098.38 and 493,678.13 is: 1,063,814.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,098.38 : 493,678.13 = 493,678.13 : x
  2. Step 2: Convert to fraction form
    229,098.38/493,678.13 = 493,678.13/x
  3. Step 3: Cross multiply
    229,098.38x = 493,678.13 × 493,678.13
  4. Step 4: Simplify right side
    229,098.38x = 243,718,091,103.52
  5. Step 5: Solve for x
    x = 243,718,091,103.52/229,098.38
  6. Step 6: Final answer
    x = 1,063,814.14

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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.