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Finding the Third Proportional to 310,081 and 467,552

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Solution

The third proportional to 310,081 and 467,552 is: 704,992.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,081 : 467,552 = 467,552 : x
  2. Step 2: Convert to fraction form
    310,081/467,552 = 467,552/x
  3. Step 3: Cross multiply
    310,081x = 467,552 × 467,552
  4. Step 4: Simplify right side
    310,081x = 218,604,872,704
  5. Step 5: Solve for x
    x = 218,604,872,704/310,081
  6. Step 6: Final answer
    x = 704,992.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.