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Finding the Third Proportional to 338,435 and 752,516

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Solution

The third proportional to 338,435 and 752,516 is: 1,673,232.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,435 : 752,516 = 752,516 : x
  2. Step 2: Convert to fraction form
    338,435/752,516 = 752,516/x
  3. Step 3: Cross multiply
    338,435x = 752,516 × 752,516
  4. Step 4: Simplify right side
    338,435x = 566,280,330,256
  5. Step 5: Solve for x
    x = 566,280,330,256/338,435
  6. Step 6: Final answer
    x = 1,673,232.17

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.