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Finding the Third Proportional to 349,878 and 763,065

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Solution

The third proportional to 349,878 and 763,065 is: 1,664,203.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,878 : 763,065 = 763,065 : x
  2. Step 2: Convert to fraction form
    349,878/763,065 = 763,065/x
  3. Step 3: Cross multiply
    349,878x = 763,065 × 763,065
  4. Step 4: Simplify right side
    349,878x = 582,268,194,225
  5. Step 5: Solve for x
    x = 582,268,194,225/349,878
  6. Step 6: Final answer
    x = 1,664,203.51

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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.