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Finding the Third Proportional to 216,991.13 and 469,658.25

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Solution

The third proportional to 216,991.13 and 469,658.25 is: 1,016,534.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,991.13 : 469,658.25 = 469,658.25 : x
  2. Step 2: Convert to fraction form
    216,991.13/469,658.25 = 469,658.25/x
  3. Step 3: Cross multiply
    216,991.13x = 469,658.25 × 469,658.25
  4. Step 4: Simplify right side
    216,991.13x = 220,578,871,793.06
  5. Step 5: Solve for x
    x = 220,578,871,793.06/216,991.13
  6. Step 6: Final answer
    x = 1,016,534.07

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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.