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Finding the Third Proportional to 349,394 and 758,116

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Solution

The third proportional to 349,394 and 758,116 is: 1,644,962.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,394 : 758,116 = 758,116 : x
  2. Step 2: Convert to fraction form
    349,394/758,116 = 758,116/x
  3. Step 3: Cross multiply
    349,394x = 758,116 × 758,116
  4. Step 4: Simplify right side
    349,394x = 574,739,869,456
  5. Step 5: Solve for x
    x = 574,739,869,456/349,394
  6. Step 6: Final answer
    x = 1,644,962.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.