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Finding the Third Proportional to 252,962.50 and 538,697

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Solution

The third proportional to 252,962.50 and 538,697 is: 1,147,183.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,962.50 : 538,697 = 538,697 : x
  2. Step 2: Convert to fraction form
    252,962.50/538,697 = 538,697/x
  3. Step 3: Cross multiply
    252,962.50x = 538,697 × 538,697
  4. Step 4: Simplify right side
    252,962.50x = 290,194,457,809
  5. Step 5: Solve for x
    x = 290,194,457,809/252,962.50
  6. Step 6: Final answer
    x = 1,147,183.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.