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Finding the Third Proportional to 229,201 and 541,934.50

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Solution

The third proportional to 229,201 and 541,934.50 is: 1,281,377.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,201 : 541,934.50 = 541,934.50 : x
  2. Step 2: Convert to fraction form
    229,201/541,934.50 = 541,934.50/x
  3. Step 3: Cross multiply
    229,201x = 541,934.50 × 541,934.50
  4. Step 4: Simplify right side
    229,201x = 293,693,002,290.25
  5. Step 5: Solve for x
    x = 293,693,002,290.25/229,201
  6. Step 6: Final answer
    x = 1,281,377.49

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.