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Finding the Third Proportional to 310,449 and 467,487

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Solution

The third proportional to 310,449 and 467,487 is: 703,961.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,449 : 467,487 = 467,487 : x
  2. Step 2: Convert to fraction form
    310,449/467,487 = 467,487/x
  3. Step 3: Cross multiply
    310,449x = 467,487 × 467,487
  4. Step 4: Simplify right side
    310,449x = 218,544,095,169
  5. Step 5: Solve for x
    x = 218,544,095,169/310,449
  6. Step 6: Final answer
    x = 703,961.34

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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.