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Finding the Third Proportional to 229,554 and 497,238.75

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Solution

The third proportional to 229,554 and 497,238.75 is: 1,077,072.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,554 : 497,238.75 = 497,238.75 : x
  2. Step 2: Convert to fraction form
    229,554/497,238.75 = 497,238.75/x
  3. Step 3: Cross multiply
    229,554x = 497,238.75 × 497,238.75
  4. Step 4: Simplify right side
    229,554x = 247,246,374,501.56
  5. Step 5: Solve for x
    x = 247,246,374,501.56/229,554
  6. Step 6: Final answer
    x = 1,077,072.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.