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Finding the Third Proportional to 369,630 and 752,656

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Solution

The third proportional to 369,630 and 752,656 is: 1,532,589.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,630 : 752,656 = 752,656 : x
  2. Step 2: Convert to fraction form
    369,630/752,656 = 752,656/x
  3. Step 3: Cross multiply
    369,630x = 752,656 × 752,656
  4. Step 4: Simplify right side
    369,630x = 566,491,054,336
  5. Step 5: Solve for x
    x = 566,491,054,336/369,630
  6. Step 6: Final answer
    x = 1,532,589.49

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.