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Finding the Third Proportional to 270,419.25 and 577,039.88

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Solution

The third proportional to 270,419.25 and 577,039.88 is: 1,231,328.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,419.25 : 577,039.88 = 577,039.88 : x
  2. Step 2: Convert to fraction form
    270,419.25/577,039.88 = 577,039.88/x
  3. Step 3: Cross multiply
    270,419.25x = 577,039.88 × 577,039.88
  4. Step 4: Simplify right side
    270,419.25x = 332,975,017,340.02
  5. Step 5: Solve for x
    x = 332,975,017,340.02/270,419.25
  6. Step 6: Final answer
    x = 1,231,328.82

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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.