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Finding the Third Proportional to 389,492 and 588,452

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Solution

The third proportional to 389,492 and 588,452 is: 889,044.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,492 : 588,452 = 588,452 : x
  2. Step 2: Convert to fraction form
    389,492/588,452 = 588,452/x
  3. Step 3: Cross multiply
    389,492x = 588,452 × 588,452
  4. Step 4: Simplify right side
    389,492x = 346,275,756,304
  5. Step 5: Solve for x
    x = 346,275,756,304/389,492
  6. Step 6: Final answer
    x = 889,044.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.