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Finding the Third Proportional to 349,083 and 542,757

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Solution

The third proportional to 349,083 and 542,757 is: 843,882.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,083 : 542,757 = 542,757 : x
  2. Step 2: Convert to fraction form
    349,083/542,757 = 542,757/x
  3. Step 3: Cross multiply
    349,083x = 542,757 × 542,757
  4. Step 4: Simplify right side
    349,083x = 294,585,161,049
  5. Step 5: Solve for x
    x = 294,585,161,049/349,083
  6. Step 6: Final answer
    x = 843,882.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.