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Finding the Third Proportional to 214,531.31 and 462,799.13

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Solution

The third proportional to 214,531.31 and 462,799.13 is: 998,376.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,531.31 : 462,799.13 = 462,799.13 : x
  2. Step 2: Convert to fraction form
    214,531.31/462,799.13 = 462,799.13/x
  3. Step 3: Cross multiply
    214,531.31x = 462,799.13 × 462,799.13
  4. Step 4: Simplify right side
    214,531.31x = 214,183,030,100.77
  5. Step 5: Solve for x
    x = 214,183,030,100.77/214,531.31
  6. Step 6: Final answer
    x = 998,376.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.