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Finding the Third Proportional to 349,876 and 767,000

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Solution

The third proportional to 349,876 and 767,000 is: 1,681,421.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,876 : 767,000 = 767,000 : x
  2. Step 2: Convert to fraction form
    349,876/767,000 = 767,000/x
  3. Step 3: Cross multiply
    349,876x = 767,000 × 767,000
  4. Step 4: Simplify right side
    349,876x = 588,289,000,000
  5. Step 5: Solve for x
    x = 588,289,000,000/349,876
  6. Step 6: Final answer
    x = 1,681,421.42

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.