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Finding the Third Proportional to 272,034.98 and 639,867.09

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Solution

The third proportional to 272,034.98 and 639,867.09 is: 1,505,063.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,034.98 : 639,867.09 = 639,867.09 : x
  2. Step 2: Convert to fraction form
    272,034.98/639,867.09 = 639,867.09/x
  3. Step 3: Cross multiply
    272,034.98x = 639,867.09 × 639,867.09
  4. Step 4: Simplify right side
    272,034.98x = 409,429,897,664.07
  5. Step 5: Solve for x
    x = 409,429,897,664.07/272,034.98
  6. Step 6: Final answer
    x = 1,505,063.40

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.