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Finding the Third Proportional to 267,734 and 430,464

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Solution

The third proportional to 267,734 and 430,464 is: 692,102.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,734 : 430,464 = 430,464 : x
  2. Step 2: Convert to fraction form
    267,734/430,464 = 430,464/x
  3. Step 3: Cross multiply
    267,734x = 430,464 × 430,464
  4. Step 4: Simplify right side
    267,734x = 185,299,255,296
  5. Step 5: Solve for x
    x = 185,299,255,296/267,734
  6. Step 6: Final answer
    x = 692,102.07

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.