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Finding the Third Proportional to 238,747.50 and 518,926.50

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Solution

The third proportional to 238,747.50 and 518,926.50 is: 1,127,905.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,747.50 : 518,926.50 = 518,926.50 : x
  2. Step 2: Convert to fraction form
    238,747.50/518,926.50 = 518,926.50/x
  3. Step 3: Cross multiply
    238,747.50x = 518,926.50 × 518,926.50
  4. Step 4: Simplify right side
    238,747.50x = 269,284,712,402.25
  5. Step 5: Solve for x
    x = 269,284,712,402.25/238,747.50
  6. Step 6: Final answer
    x = 1,127,905.89

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Why These Related Problems?

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