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Finding the Third Proportional to 270,432 and 588,416

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Solution

The third proportional to 270,432 and 588,416 is: 1,280,297.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,432 : 588,416 = 588,416 : x
  2. Step 2: Convert to fraction form
    270,432/588,416 = 588,416/x
  3. Step 3: Cross multiply
    270,432x = 588,416 × 588,416
  4. Step 4: Simplify right side
    270,432x = 346,233,389,056
  5. Step 5: Solve for x
    x = 346,233,389,056/270,432
  6. Step 6: Final answer
    x = 1,280,297.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.