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Finding the Third Proportional to 349,970 and 542,935

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Solution

The third proportional to 349,970 and 542,935 is: 842,296.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,970 : 542,935 = 542,935 : x
  2. Step 2: Convert to fraction form
    349,970/542,935 = 542,935/x
  3. Step 3: Cross multiply
    349,970x = 542,935 × 542,935
  4. Step 4: Simplify right side
    349,970x = 294,778,414,225
  5. Step 5: Solve for x
    x = 294,778,414,225/349,970
  6. Step 6: Final answer
    x = 842,296.24

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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.