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Finding the Third Proportional to 296,171.02 and 577,579.78

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Solution

The third proportional to 296,171.02 and 577,579.78 is: 1,126,370.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,171.02 : 577,579.78 = 577,579.78 : x
  2. Step 2: Convert to fraction form
    296,171.02/577,579.78 = 577,579.78/x
  3. Step 3: Cross multiply
    296,171.02x = 577,579.78 × 577,579.78
  4. Step 4: Simplify right side
    296,171.02x = 333,598,403,708.80
  5. Step 5: Solve for x
    x = 333,598,403,708.80/296,171.02
  6. Step 6: Final answer
    x = 1,126,370.87

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.