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Finding the Third Proportional to 218,437.50 and 467,244

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Solution

The third proportional to 218,437.50 and 467,244 is: 999,448.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,437.50 : 467,244 = 467,244 : x
  2. Step 2: Convert to fraction form
    218,437.50/467,244 = 467,244/x
  3. Step 3: Cross multiply
    218,437.50x = 467,244 × 467,244
  4. Step 4: Simplify right side
    218,437.50x = 218,316,955,536
  5. Step 5: Solve for x
    x = 218,316,955,536/218,437.50
  6. Step 6: Final answer
    x = 999,448.15

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.