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Finding the Third Proportional to 250,759 and 488,960

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Solution

The third proportional to 250,759 and 488,960 is: 953,432.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,759 : 488,960 = 488,960 : x
  2. Step 2: Convert to fraction form
    250,759/488,960 = 488,960/x
  3. Step 3: Cross multiply
    250,759x = 488,960 × 488,960
  4. Step 4: Simplify right side
    250,759x = 239,081,881,600
  5. Step 5: Solve for x
    x = 239,081,881,600/250,759
  6. Step 6: Final answer
    x = 953,432.90

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.