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Finding the Third Proportional to 270,960.19 and 572,447.25

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Solution

The third proportional to 270,960.19 and 572,447.25 is: 1,209,387.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,960.19 : 572,447.25 = 572,447.25 : x
  2. Step 2: Convert to fraction form
    270,960.19/572,447.25 = 572,447.25/x
  3. Step 3: Cross multiply
    270,960.19x = 572,447.25 × 572,447.25
  4. Step 4: Simplify right side
    270,960.19x = 327,695,854,032.56
  5. Step 5: Solve for x
    x = 327,695,854,032.56/270,960.19
  6. Step 6: Final answer
    x = 1,209,387.46

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.