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Finding the Third Proportional to 349,944 and 743,632

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Solution

The third proportional to 349,944 and 743,632 is: 1,580,220.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,944 : 743,632 = 743,632 : x
  2. Step 2: Convert to fraction form
    349,944/743,632 = 743,632/x
  3. Step 3: Cross multiply
    349,944x = 743,632 × 743,632
  4. Step 4: Simplify right side
    349,944x = 552,988,551,424
  5. Step 5: Solve for x
    x = 552,988,551,424/349,944
  6. Step 6: Final answer
    x = 1,580,220.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.