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Finding the Third Proportional to 267,552 and 581,232

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Solution

The third proportional to 267,552 and 581,232 is: 1,262,672.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,552 : 581,232 = 581,232 : x
  2. Step 2: Convert to fraction form
    267,552/581,232 = 581,232/x
  3. Step 3: Cross multiply
    267,552x = 581,232 × 581,232
  4. Step 4: Simplify right side
    267,552x = 337,830,637,824
  5. Step 5: Solve for x
    x = 337,830,637,824/267,552
  6. Step 6: Final answer
    x = 1,262,672.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.