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Finding the Third Proportional to 488,434 and 751,203

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Solution

The third proportional to 488,434 and 751,203 is: 1,155,337.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,434 : 751,203 = 751,203 : x
  2. Step 2: Convert to fraction form
    488,434/751,203 = 751,203/x
  3. Step 3: Cross multiply
    488,434x = 751,203 × 751,203
  4. Step 4: Simplify right side
    488,434x = 564,305,947,209
  5. Step 5: Solve for x
    x = 564,305,947,209/488,434
  6. Step 6: Final answer
    x = 1,155,337.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.