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Finding the Third Proportional to 349,226 and 762,422

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Solution

The third proportional to 349,226 and 762,422 is: 1,664,501.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,226 : 762,422 = 762,422 : x
  2. Step 2: Convert to fraction form
    349,226/762,422 = 762,422/x
  3. Step 3: Cross multiply
    349,226x = 762,422 × 762,422
  4. Step 4: Simplify right side
    349,226x = 581,287,306,084
  5. Step 5: Solve for x
    x = 581,287,306,084/349,226
  6. Step 6: Final answer
    x = 1,664,501.80

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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.