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Finding the Third Proportional to 349,234 and 762,438

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Solution

The third proportional to 349,234 and 762,438 is: 1,664,533.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,234 : 762,438 = 762,438 : x
  2. Step 2: Convert to fraction form
    349,234/762,438 = 762,438/x
  3. Step 3: Cross multiply
    349,234x = 762,438 × 762,438
  4. Step 4: Simplify right side
    349,234x = 581,311,703,844
  5. Step 5: Solve for x
    x = 581,311,703,844/349,234
  6. Step 6: Final answer
    x = 1,664,533.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.