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Finding the Third Proportional to 214,371.56 and 457,242.47

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Solution

The third proportional to 214,371.56 and 457,242.47 is: 975,272.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,371.56 : 457,242.47 = 457,242.47 : x
  2. Step 2: Convert to fraction form
    214,371.56/457,242.47 = 457,242.47/x
  3. Step 3: Cross multiply
    214,371.56x = 457,242.47 × 457,242.47
  4. Step 4: Simplify right side
    214,371.56x = 209,070,675,228.60
  5. Step 5: Solve for x
    x = 209,070,675,228.60/214,371.56
  6. Step 6: Final answer
    x = 975,272.43

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