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Finding the Third Proportional to 349,938 and 542,889

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Solution

The third proportional to 349,938 and 542,889 is: 842,230.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,938 : 542,889 = 542,889 : x
  2. Step 2: Convert to fraction form
    349,938/542,889 = 542,889/x
  3. Step 3: Cross multiply
    349,938x = 542,889 × 542,889
  4. Step 4: Simplify right side
    349,938x = 294,728,466,321
  5. Step 5: Solve for x
    x = 294,728,466,321/349,938
  6. Step 6: Final answer
    x = 842,230.53

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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.