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Finding the Third Proportional to 272,257.50 and 598,096.50

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Solution

The third proportional to 272,257.50 and 598,096.50 is: 1,313,901.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,257.50 : 598,096.50 = 598,096.50 : x
  2. Step 2: Convert to fraction form
    272,257.50/598,096.50 = 598,096.50/x
  3. Step 3: Cross multiply
    272,257.50x = 598,096.50 × 598,096.50
  4. Step 4: Simplify right side
    272,257.50x = 357,719,423,312.25
  5. Step 5: Solve for x
    x = 357,719,423,312.25/272,257.50
  6. Step 6: Final answer
    x = 1,313,901.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.