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Finding the Third Proportional to 221,531.63 and 485,952.38

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Solution

The third proportional to 221,531.63 and 485,952.38 is: 1,065,986.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,531.63 : 485,952.38 = 485,952.38 : x
  2. Step 2: Convert to fraction form
    221,531.63/485,952.38 = 485,952.38/x
  3. Step 3: Cross multiply
    221,531.63x = 485,952.38 × 485,952.38
  4. Step 4: Simplify right side
    221,531.63x = 236,149,710,768.14
  5. Step 5: Solve for x
    x = 236,149,710,768.14/221,531.63
  6. Step 6: Final answer
    x = 1,065,986.45

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.