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Finding the Third Proportional to 270,384 and 602,880

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Solution

The third proportional to 270,384 and 602,880 is: 1,344,252.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,384 : 602,880 = 602,880 : x
  2. Step 2: Convert to fraction form
    270,384/602,880 = 602,880/x
  3. Step 3: Cross multiply
    270,384x = 602,880 × 602,880
  4. Step 4: Simplify right side
    270,384x = 363,464,294,400
  5. Step 5: Solve for x
    x = 363,464,294,400/270,384
  6. Step 6: Final answer
    x = 1,344,252.23

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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.