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Finding the Third Proportional to 270,597.38 and 587,307.38

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Solution

The third proportional to 270,597.38 and 587,307.38 is: 1,274,698.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,597.38 : 587,307.38 = 587,307.38 : x
  2. Step 2: Convert to fraction form
    270,597.38/587,307.38 = 587,307.38/x
  3. Step 3: Cross multiply
    270,597.38x = 587,307.38 × 587,307.38
  4. Step 4: Simplify right side
    270,597.38x = 344,929,952,729.39
  5. Step 5: Solve for x
    x = 344,929,952,729.39/270,597.38
  6. Step 6: Final answer
    x = 1,274,698.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.