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Finding the Third Proportional to 214,428.52 and 457,356.38

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Solution

The third proportional to 214,428.52 and 457,356.38 is: 975,499.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,428.52 : 457,356.38 = 457,356.38 : x
  2. Step 2: Convert to fraction form
    214,428.52/457,356.38 = 457,356.38/x
  3. Step 3: Cross multiply
    214,428.52x = 457,356.38 × 457,356.38
  4. Step 4: Simplify right side
    214,428.52x = 209,174,853,753.14
  5. Step 5: Solve for x
    x = 209,174,853,753.14/214,428.52
  6. Step 6: Final answer
    x = 975,499.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.