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Finding the Third Proportional to 240,545 and 366,488

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Solution

The third proportional to 240,545 and 366,488 is: 558,371.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,545 : 366,488 = 366,488 : x
  2. Step 2: Convert to fraction form
    240,545/366,488 = 366,488/x
  3. Step 3: Cross multiply
    240,545x = 366,488 × 366,488
  4. Step 4: Simplify right side
    240,545x = 134,313,454,144
  5. Step 5: Solve for x
    x = 134,313,454,144/240,545
  6. Step 6: Final answer
    x = 558,371.42

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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.