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Finding the Third Proportional to 267,752 and 401,638

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Solution

The third proportional to 267,752 and 401,638 is: 602,472.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,752 : 401,638 = 401,638 : x
  2. Step 2: Convert to fraction form
    267,752/401,638 = 401,638/x
  3. Step 3: Cross multiply
    267,752x = 401,638 × 401,638
  4. Step 4: Simplify right side
    267,752x = 161,313,083,044
  5. Step 5: Solve for x
    x = 161,313,083,044/267,752
  6. Step 6: Final answer
    x = 602,472.00

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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.