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Finding the Third Proportional to 486,661.50 and 650,983.50

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Solution

The third proportional to 486,661.50 and 650,983.50 is: 870,789.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,661.50 : 650,983.50 = 650,983.50 : x
  2. Step 2: Convert to fraction form
    486,661.50/650,983.50 = 650,983.50/x
  3. Step 3: Cross multiply
    486,661.50x = 650,983.50 × 650,983.50
  4. Step 4: Simplify right side
    486,661.50x = 423,779,517,272.25
  5. Step 5: Solve for x
    x = 423,779,517,272.25/486,661.50
  6. Step 6: Final answer
    x = 870,789.07

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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.