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Finding the Third Proportional to 229,304.67 and 486,356.91

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Solution

The third proportional to 229,304.67 and 486,356.91 is: 1,031,566.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,304.67 : 486,356.91 = 486,356.91 : x
  2. Step 2: Convert to fraction form
    229,304.67/486,356.91 = 486,356.91/x
  3. Step 3: Cross multiply
    229,304.67x = 486,356.91 × 486,356.91
  4. Step 4: Simplify right side
    229,304.67x = 236,543,040,257.07
  5. Step 5: Solve for x
    x = 236,543,040,257.07/229,304.67
  6. Step 6: Final answer
    x = 1,031,566.60

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.