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Finding the Third Proportional to 471,304.20 and 1,017,313.80

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Solution

The third proportional to 471,304.20 and 1,017,313.80 is: 2,195,879.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,304.20 : 1,017,313.80 = 1,017,313.80 : x
  2. Step 2: Convert to fraction form
    471,304.20/1,017,313.80 = 1,017,313.80/x
  3. Step 3: Cross multiply
    471,304.20x = 1,017,313.80 × 1,017,313.80
  4. Step 4: Simplify right side
    471,304.20x = 1,034,927,377,207.76
  5. Step 5: Solve for x
    x = 1,034,927,377,207.76/471,304.20
  6. Step 6: Final answer
    x = 2,195,879.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.