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Finding the Third Proportional to 668,382.75 and 1,005,765.75

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Solution

The third proportional to 668,382.75 and 1,005,765.75 is: 1,513,451.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,382.75 : 1,005,765.75 = 1,005,765.75 : x
  2. Step 2: Convert to fraction form
    668,382.75/1,005,765.75 = 1,005,765.75/x
  3. Step 3: Cross multiply
    668,382.75x = 1,005,765.75 × 1,005,765.75
  4. Step 4: Simplify right side
    668,382.75x = 1,011,564,743,873.06
  5. Step 5: Solve for x
    x = 1,011,564,743,873.06/668,382.75
  6. Step 6: Final answer
    x = 1,513,451.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.