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Finding the Third Proportional to 215,260.03 and 469,271.81

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Solution

The third proportional to 215,260.03 and 469,271.81 is: 1,023,023.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,260.03 : 469,271.81 = 469,271.81 : x
  2. Step 2: Convert to fraction form
    215,260.03/469,271.81 = 469,271.81/x
  3. Step 3: Cross multiply
    215,260.03x = 469,271.81 × 469,271.81
  4. Step 4: Simplify right side
    215,260.03x = 220,216,034,007.04
  5. Step 5: Solve for x
    x = 220,216,034,007.04/215,260.03
  6. Step 6: Final answer
    x = 1,023,023.33

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.