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Finding the Third Proportional to 442,046 and 675,757

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Solution

The third proportional to 442,046 and 675,757 is: 1,033,031.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,046 : 675,757 = 675,757 : x
  2. Step 2: Convert to fraction form
    442,046/675,757 = 675,757/x
  3. Step 3: Cross multiply
    442,046x = 675,757 × 675,757
  4. Step 4: Simplify right side
    442,046x = 456,647,523,049
  5. Step 5: Solve for x
    x = 456,647,523,049/442,046
  6. Step 6: Final answer
    x = 1,033,031.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.