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Finding the Third Proportional to 669,267.56 and 1,005,382.13

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Solution

The third proportional to 669,267.56 and 1,005,382.13 is: 1,510,297.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,267.56 : 1,005,382.13 = 1,005,382.13 : x
  2. Step 2: Convert to fraction form
    669,267.56/1,005,382.13 = 1,005,382.13/x
  3. Step 3: Cross multiply
    669,267.56x = 1,005,382.13 × 1,005,382.13
  4. Step 4: Simplify right side
    669,267.56x = 1,010,793,217,269.52
  5. Step 5: Solve for x
    x = 1,010,793,217,269.52/669,267.56
  6. Step 6: Final answer
    x = 1,510,297.64

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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.