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Finding the Third Proportional to 349,974 and 542,937

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Solution

The third proportional to 349,974 and 542,937 is: 842,292.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,974 : 542,937 = 542,937 : x
  2. Step 2: Convert to fraction form
    349,974/542,937 = 542,937/x
  3. Step 3: Cross multiply
    349,974x = 542,937 × 542,937
  4. Step 4: Simplify right side
    349,974x = 294,780,585,969
  5. Step 5: Solve for x
    x = 294,780,585,969/349,974
  6. Step 6: Final answer
    x = 842,292.82

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