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Finding the Third Proportional to 678,732.75 and 1,340,329.50

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Solution

The third proportional to 678,732.75 and 1,340,329.50 is: 2,646,819.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,732.75 : 1,340,329.50 = 1,340,329.50 : x
  2. Step 2: Convert to fraction form
    678,732.75/1,340,329.50 = 1,340,329.50/x
  3. Step 3: Cross multiply
    678,732.75x = 1,340,329.50 × 1,340,329.50
  4. Step 4: Simplify right side
    678,732.75x = 1,796,483,168,570.25
  5. Step 5: Solve for x
    x = 1,796,483,168,570.25/678,732.75
  6. Step 6: Final answer
    x = 2,646,819.63

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.