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Finding the Third Proportional to 343,242 and 738,142.50

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Solution

The third proportional to 343,242 and 738,142.50 is: 1,587,376.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,242 : 738,142.50 = 738,142.50 : x
  2. Step 2: Convert to fraction form
    343,242/738,142.50 = 738,142.50/x
  3. Step 3: Cross multiply
    343,242x = 738,142.50 × 738,142.50
  4. Step 4: Simplify right side
    343,242x = 544,854,350,306.25
  5. Step 5: Solve for x
    x = 544,854,350,306.25/343,242
  6. Step 6: Final answer
    x = 1,587,376.69

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.