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Finding the Third Proportional to 343,749.75 and 740,158.50

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Solution

The third proportional to 343,749.75 and 740,158.50 is: 1,593,701.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,749.75 : 740,158.50 = 740,158.50 : x
  2. Step 2: Convert to fraction form
    343,749.75/740,158.50 = 740,158.50/x
  3. Step 3: Cross multiply
    343,749.75x = 740,158.50 × 740,158.50
  4. Step 4: Simplify right side
    343,749.75x = 547,834,605,122.25
  5. Step 5: Solve for x
    x = 547,834,605,122.25/343,749.75
  6. Step 6: Final answer
    x = 1,593,701.83

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Why These Related Problems?

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