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Finding the Third Proportional to 486,650.25 and 650,966.63

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Solution

The third proportional to 486,650.25 and 650,966.63 is: 870,764.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,650.25 : 650,966.63 = 650,966.63 : x
  2. Step 2: Convert to fraction form
    486,650.25/650,966.63 = 650,966.63/x
  3. Step 3: Cross multiply
    486,650.25x = 650,966.63 × 650,966.63
  4. Step 4: Simplify right side
    486,650.25x = 423,757,546,863.89
  5. Step 5: Solve for x
    x = 423,757,546,863.89/486,650.25
  6. Step 6: Final answer
    x = 870,764.06

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.