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Finding the Third Proportional to 488,820 and 752,203

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Solution

The third proportional to 488,820 and 752,203 is: 1,157,500.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,820 : 752,203 = 752,203 : x
  2. Step 2: Convert to fraction form
    488,820/752,203 = 752,203/x
  3. Step 3: Cross multiply
    488,820x = 752,203 × 752,203
  4. Step 4: Simplify right side
    488,820x = 565,809,353,209
  5. Step 5: Solve for x
    x = 565,809,353,209/488,820
  6. Step 6: Final answer
    x = 1,157,500.42

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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.