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Finding the Third Proportional to 310,824 and 464,318

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Solution

The third proportional to 310,824 and 464,318 is: 693,611.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,824 : 464,318 = 464,318 : x
  2. Step 2: Convert to fraction form
    310,824/464,318 = 464,318/x
  3. Step 3: Cross multiply
    310,824x = 464,318 × 464,318
  4. Step 4: Simplify right side
    310,824x = 215,591,205,124
  5. Step 5: Solve for x
    x = 215,591,205,124/310,824
  6. Step 6: Final answer
    x = 693,611.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.