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Finding the Third Proportional to 229,998.38 and 537,234.75

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Solution

The third proportional to 229,998.38 and 537,234.75 is: 1,254,883.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,998.38 : 537,234.75 = 537,234.75 : x
  2. Step 2: Convert to fraction form
    229,998.38/537,234.75 = 537,234.75/x
  3. Step 3: Cross multiply
    229,998.38x = 537,234.75 × 537,234.75
  4. Step 4: Simplify right side
    229,998.38x = 288,621,176,607.56
  5. Step 5: Solve for x
    x = 288,621,176,607.56/229,998.38
  6. Step 6: Final answer
    x = 1,254,883.55

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.