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Finding the Third Proportional to 305,378.44 and 664,966.13

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Solution

The third proportional to 305,378.44 and 664,966.13 is: 1,447,973.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,378.44 : 664,966.13 = 664,966.13 : x
  2. Step 2: Convert to fraction form
    305,378.44/664,966.13 = 664,966.13/x
  3. Step 3: Cross multiply
    305,378.44x = 664,966.13 × 664,966.13
  4. Step 4: Simplify right side
    305,378.44x = 442,179,947,397.52
  5. Step 5: Solve for x
    x = 442,179,947,397.52/305,378.44
  6. Step 6: Final answer
    x = 1,447,973.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.