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Finding the Third Proportional to 310,455 and 467,496

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Solution

The third proportional to 310,455 and 467,496 is: 703,974.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,455 : 467,496 = 467,496 : x
  2. Step 2: Convert to fraction form
    310,455/467,496 = 467,496/x
  3. Step 3: Cross multiply
    310,455x = 467,496 × 467,496
  4. Step 4: Simplify right side
    310,455x = 218,552,510,016
  5. Step 5: Solve for x
    x = 218,552,510,016/310,455
  6. Step 6: Final answer
    x = 703,974.84

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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.