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Finding the Third Proportional to 226,063.13 and 483,217.88

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Solution

The third proportional to 226,063.13 and 483,217.88 is: 1,032,895.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,063.13 : 483,217.88 = 483,217.88 : x
  2. Step 2: Convert to fraction form
    226,063.13/483,217.88 = 483,217.88/x
  3. Step 3: Cross multiply
    226,063.13x = 483,217.88 × 483,217.88
  4. Step 4: Simplify right side
    226,063.13x = 233,499,514,719.52
  5. Step 5: Solve for x
    x = 233,499,514,719.52/226,063.13
  6. Step 6: Final answer
    x = 1,032,895.19

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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.