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Finding the Third Proportional to 213,322.31 and 457,006.13

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Solution

The third proportional to 213,322.31 and 457,006.13 is: 979,056.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,322.31 : 457,006.13 = 457,006.13 : x
  2. Step 2: Convert to fraction form
    213,322.31/457,006.13 = 457,006.13/x
  3. Step 3: Cross multiply
    213,322.31x = 457,006.13 × 457,006.13
  4. Step 4: Simplify right side
    213,322.31x = 208,854,598,287.52
  5. Step 5: Solve for x
    x = 208,854,598,287.52/213,322.31
  6. Step 6: Final answer
    x = 979,056.51

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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.