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Finding the Third Proportional to 301,947.75 and 444,160.13

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Solution

The third proportional to 301,947.75 and 444,160.13 is: 653,352.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,947.75 : 444,160.13 = 444,160.13 : x
  2. Step 2: Convert to fraction form
    301,947.75/444,160.13 = 444,160.13/x
  3. Step 3: Cross multiply
    301,947.75x = 444,160.13 × 444,160.13
  4. Step 4: Simplify right side
    301,947.75x = 197,278,216,640.02
  5. Step 5: Solve for x
    x = 197,278,216,640.02/301,947.75
  6. Step 6: Final answer
    x = 653,352.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.