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Finding the Third Proportional to 267,702 and 430,497

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Solution

The third proportional to 267,702 and 430,497 is: 692,290.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,702 : 430,497 = 430,497 : x
  2. Step 2: Convert to fraction form
    267,702/430,497 = 430,497/x
  3. Step 3: Cross multiply
    267,702x = 430,497 × 430,497
  4. Step 4: Simplify right side
    267,702x = 185,327,667,009
  5. Step 5: Solve for x
    x = 185,327,667,009/267,702
  6. Step 6: Final answer
    x = 692,290.93

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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.