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Finding the Third Proportional to 343,944 and 712,188

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Solution

The third proportional to 343,944 and 712,188 is: 1,474,692.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,944 : 712,188 = 712,188 : x
  2. Step 2: Convert to fraction form
    343,944/712,188 = 712,188/x
  3. Step 3: Cross multiply
    343,944x = 712,188 × 712,188
  4. Step 4: Simplify right side
    343,944x = 507,211,747,344
  5. Step 5: Solve for x
    x = 507,211,747,344/343,944
  6. Step 6: Final answer
    x = 1,474,692.82

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.