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Finding the Third Proportional to 240,558 and 366,511

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Solution

The third proportional to 240,558 and 366,511 is: 558,411.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,558 : 366,511 = 366,511 : x
  2. Step 2: Convert to fraction form
    240,558/366,511 = 366,511/x
  3. Step 3: Cross multiply
    240,558x = 366,511 × 366,511
  4. Step 4: Simplify right side
    240,558x = 134,330,313,121
  5. Step 5: Solve for x
    x = 134,330,313,121/240,558
  6. Step 6: Final answer
    x = 558,411.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.