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Finding the Third Proportional to 768,171 and 1,162,867.50

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Solution

The third proportional to 768,171 and 1,162,867.50 is: 1,760,364.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,171 : 1,162,867.50 = 1,162,867.50 : x
  2. Step 2: Convert to fraction form
    768,171/1,162,867.50 = 1,162,867.50/x
  3. Step 3: Cross multiply
    768,171x = 1,162,867.50 × 1,162,867.50
  4. Step 4: Simplify right side
    768,171x = 1,352,260,822,556.25
  5. Step 5: Solve for x
    x = 1,352,260,822,556.25/768,171
  6. Step 6: Final answer
    x = 1,760,364.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.