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Finding the Third Proportional to 267,724 and 430,530

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Solution

The third proportional to 267,724 and 430,530 is: 692,340.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,724 : 430,530 = 430,530 : x
  2. Step 2: Convert to fraction form
    267,724/430,530 = 430,530/x
  3. Step 3: Cross multiply
    267,724x = 430,530 × 430,530
  4. Step 4: Simplify right side
    267,724x = 185,356,080,900
  5. Step 5: Solve for x
    x = 185,356,080,900/267,724
  6. Step 6: Final answer
    x = 692,340.17

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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.