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Finding the Third Proportional to 347,354.50 and 542,040

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Solution

The third proportional to 347,354.50 and 542,040 is: 845,842.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,354.50 : 542,040 = 542,040 : x
  2. Step 2: Convert to fraction form
    347,354.50/542,040 = 542,040/x
  3. Step 3: Cross multiply
    347,354.50x = 542,040 × 542,040
  4. Step 4: Simplify right side
    347,354.50x = 293,807,361,600
  5. Step 5: Solve for x
    x = 293,807,361,600/347,354.50
  6. Step 6: Final answer
    x = 845,842.97

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.