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Finding the Third Proportional to 349,884 and 763,073

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Solution

The third proportional to 349,884 and 763,073 is: 1,664,209.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,884 : 763,073 = 763,073 : x
  2. Step 2: Convert to fraction form
    349,884/763,073 = 763,073/x
  3. Step 3: Cross multiply
    349,884x = 763,073 × 763,073
  4. Step 4: Simplify right side
    349,884x = 582,280,403,329
  5. Step 5: Solve for x
    x = 582,280,403,329/349,884
  6. Step 6: Final answer
    x = 1,664,209.86

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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.