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Finding the Third Proportional to 305,016 and 462,708

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Solution

The third proportional to 305,016 and 462,708 is: 701,926.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,016 : 462,708 = 462,708 : x
  2. Step 2: Convert to fraction form
    305,016/462,708 = 462,708/x
  3. Step 3: Cross multiply
    305,016x = 462,708 × 462,708
  4. Step 4: Simplify right side
    305,016x = 214,098,693,264
  5. Step 5: Solve for x
    x = 214,098,693,264/305,016
  6. Step 6: Final answer
    x = 701,926.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.