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Finding the Third Proportional to 441,738 and 688,850

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Solution

The third proportional to 441,738 and 688,850 is: 1,074,198.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,738 : 688,850 = 688,850 : x
  2. Step 2: Convert to fraction form
    441,738/688,850 = 688,850/x
  3. Step 3: Cross multiply
    441,738x = 688,850 × 688,850
  4. Step 4: Simplify right side
    441,738x = 474,514,322,500
  5. Step 5: Solve for x
    x = 474,514,322,500/441,738
  6. Step 6: Final answer
    x = 1,074,198.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.