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Finding the Third Proportional to 213,060.38 and 452,395.13

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Solution

The third proportional to 213,060.38 and 452,395.13 is: 960,579.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,060.38 : 452,395.13 = 452,395.13 : x
  2. Step 2: Convert to fraction form
    213,060.38/452,395.13 = 452,395.13/x
  3. Step 3: Cross multiply
    213,060.38x = 452,395.13 × 452,395.13
  4. Step 4: Simplify right side
    213,060.38x = 204,661,349,123.77
  5. Step 5: Solve for x
    x = 204,661,349,123.77/213,060.38
  6. Step 6: Final answer
    x = 960,579.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.