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Finding the Third Proportional to 270,424 and 602,960

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Solution

The third proportional to 270,424 and 602,960 is: 1,344,410.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,424 : 602,960 = 602,960 : x
  2. Step 2: Convert to fraction form
    270,424/602,960 = 602,960/x
  3. Step 3: Cross multiply
    270,424x = 602,960 × 602,960
  4. Step 4: Simplify right side
    270,424x = 363,560,761,600
  5. Step 5: Solve for x
    x = 363,560,761,600/270,424
  6. Step 6: Final answer
    x = 1,344,410.12

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.