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Finding the Third Proportional to 264,301.97 and 402,649.03

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Solution

The third proportional to 264,301.97 and 402,649.03 is: 613,412.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,301.97 : 402,649.03 = 402,649.03 : x
  2. Step 2: Convert to fraction form
    264,301.97/402,649.03 = 402,649.03/x
  3. Step 3: Cross multiply
    264,301.97x = 402,649.03 × 402,649.03
  4. Step 4: Simplify right side
    264,301.97x = 162,126,242,366.56
  5. Step 5: Solve for x
    x = 162,126,242,366.56/264,301.97
  6. Step 6: Final answer
    x = 613,412.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.