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Finding the Third Proportional to 347,058 and 703,775.25

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Solution

The third proportional to 347,058 and 703,775.25 is: 1,427,137.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,058 : 703,775.25 = 703,775.25 : x
  2. Step 2: Convert to fraction form
    347,058/703,775.25 = 703,775.25/x
  3. Step 3: Cross multiply
    347,058x = 703,775.25 × 703,775.25
  4. Step 4: Simplify right side
    347,058x = 495,299,602,512.56
  5. Step 5: Solve for x
    x = 495,299,602,512.56/347,058
  6. Step 6: Final answer
    x = 1,427,137.83

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.