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Finding the Third Proportional to 330,947.25 and 722,583

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Solution

The third proportional to 330,947.25 and 722,583 is: 1,577,671.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,947.25 : 722,583 = 722,583 : x
  2. Step 2: Convert to fraction form
    330,947.25/722,583 = 722,583/x
  3. Step 3: Cross multiply
    330,947.25x = 722,583 × 722,583
  4. Step 4: Simplify right side
    330,947.25x = 522,126,191,889
  5. Step 5: Solve for x
    x = 522,126,191,889/330,947.25
  6. Step 6: Final answer
    x = 1,577,671.95

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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.