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Finding the Third Proportional to 907,299 and 1,340,257.50

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Solution

The third proportional to 907,299 and 1,340,257.50 is: 1,979,821.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    907,299 : 1,340,257.50 = 1,340,257.50 : x
  2. Step 2: Convert to fraction form
    907,299/1,340,257.50 = 1,340,257.50/x
  3. Step 3: Cross multiply
    907,299x = 1,340,257.50 × 1,340,257.50
  4. Step 4: Simplify right side
    907,299x = 1,796,290,166,306.25
  5. Step 5: Solve for x
    x = 1,796,290,166,306.25/907,299
  6. Step 6: Final answer
    x = 1,979,821.61

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.