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Finding the Third Proportional to 328,334 and 701,596

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Solution

The third proportional to 328,334 and 701,596 is: 1,499,195.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,334 : 701,596 = 701,596 : x
  2. Step 2: Convert to fraction form
    328,334/701,596 = 701,596/x
  3. Step 3: Cross multiply
    328,334x = 701,596 × 701,596
  4. Step 4: Simplify right side
    328,334x = 492,236,947,216
  5. Step 5: Solve for x
    x = 492,236,947,216/328,334
  6. Step 6: Final answer
    x = 1,499,195.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.