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Finding the Third Proportional to 270,094.50 and 581,172.47

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Solution

The third proportional to 270,094.50 and 581,172.47 is: 1,250,530.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,094.50 : 581,172.47 = 581,172.47 : x
  2. Step 2: Convert to fraction form
    270,094.50/581,172.47 = 581,172.47/x
  3. Step 3: Cross multiply
    270,094.50x = 581,172.47 × 581,172.47
  4. Step 4: Simplify right side
    270,094.50x = 337,761,438,432.97
  5. Step 5: Solve for x
    x = 337,761,438,432.97/270,094.50
  6. Step 6: Final answer
    x = 1,250,530.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.