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Finding the Third Proportional to 378,074.25 and 598,951.13

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Solution

The third proportional to 378,074.25 and 598,951.13 is: 948,867.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,074.25 : 598,951.13 = 598,951.13 : x
  2. Step 2: Convert to fraction form
    378,074.25/598,951.13 = 598,951.13/x
  3. Step 3: Cross multiply
    378,074.25x = 598,951.13 × 598,951.13
  4. Step 4: Simplify right side
    378,074.25x = 358,742,450,138.77
  5. Step 5: Solve for x
    x = 358,742,450,138.77/378,074.25
  6. Step 6: Final answer
    x = 948,867.72

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.