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Finding the Third Proportional to 349,881 and 763,068

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Solution

The third proportional to 349,881 and 763,068 is: 1,664,202.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,881 : 763,068 = 763,068 : x
  2. Step 2: Convert to fraction form
    349,881/763,068 = 763,068/x
  3. Step 3: Cross multiply
    349,881x = 763,068 × 763,068
  4. Step 4: Simplify right side
    349,881x = 582,272,772,624
  5. Step 5: Solve for x
    x = 582,272,772,624/349,881
  6. Step 6: Final answer
    x = 1,664,202.32

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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.