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Finding the Third Proportional to 349,218 and 762,404

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Solution

The third proportional to 349,218 and 762,404 is: 1,664,461.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,218 : 762,404 = 762,404 : x
  2. Step 2: Convert to fraction form
    349,218/762,404 = 762,404/x
  3. Step 3: Cross multiply
    349,218x = 762,404 × 762,404
  4. Step 4: Simplify right side
    349,218x = 581,259,859,216
  5. Step 5: Solve for x
    x = 581,259,859,216/349,218
  6. Step 6: Final answer
    x = 1,664,461.34

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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.