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Finding the Third Proportional to 267,570 and 402,324

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Solution

The third proportional to 267,570 and 402,324 is: 604,943.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,570 : 402,324 = 402,324 : x
  2. Step 2: Convert to fraction form
    267,570/402,324 = 402,324/x
  3. Step 3: Cross multiply
    267,570x = 402,324 × 402,324
  4. Step 4: Simplify right side
    267,570x = 161,864,600,976
  5. Step 5: Solve for x
    x = 161,864,600,976/267,570
  6. Step 6: Final answer
    x = 604,943.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.