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Finding the Third Proportional to 216,637.13 and 467,527.22

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Solution

The third proportional to 216,637.13 and 467,527.22 is: 1,008,976.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,637.13 : 467,527.22 = 467,527.22 : x
  2. Step 2: Convert to fraction form
    216,637.13/467,527.22 = 467,527.22/x
  3. Step 3: Cross multiply
    216,637.13x = 467,527.22 × 467,527.22
  4. Step 4: Simplify right side
    216,637.13x = 218,581,700,272.11
  5. Step 5: Solve for x
    x = 218,581,700,272.11/216,637.13
  6. Step 6: Final answer
    x = 1,008,976.19

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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.