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Finding the Third Proportional to 338,298 and 736,868

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Solution

The third proportional to 338,298 and 736,868 is: 1,605,018.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,298 : 736,868 = 736,868 : x
  2. Step 2: Convert to fraction form
    338,298/736,868 = 736,868/x
  3. Step 3: Cross multiply
    338,298x = 736,868 × 736,868
  4. Step 4: Simplify right side
    338,298x = 542,974,449,424
  5. Step 5: Solve for x
    x = 542,974,449,424/338,298
  6. Step 6: Final answer
    x = 1,605,018.21

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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.