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Finding the Third Proportional to 274,442 and 410,511

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Solution

The third proportional to 274,442 and 410,511 is: 614,043.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,442 : 410,511 = 410,511 : x
  2. Step 2: Convert to fraction form
    274,442/410,511 = 410,511/x
  3. Step 3: Cross multiply
    274,442x = 410,511 × 410,511
  4. Step 4: Simplify right side
    274,442x = 168,519,281,121
  5. Step 5: Solve for x
    x = 168,519,281,121/274,442
  6. Step 6: Final answer
    x = 614,043.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.