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Finding the Third Proportional to 308,124 and 464,373

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Solution

The third proportional to 308,124 and 464,373 is: 699,855.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,124 : 464,373 = 464,373 : x
  2. Step 2: Convert to fraction form
    308,124/464,373 = 464,373/x
  3. Step 3: Cross multiply
    308,124x = 464,373 × 464,373
  4. Step 4: Simplify right side
    308,124x = 215,642,283,129
  5. Step 5: Solve for x
    x = 215,642,283,129/308,124
  6. Step 6: Final answer
    x = 699,855.52

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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.