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Finding the Third Proportional to 445,965.75 and 928,867.50

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Solution

The third proportional to 445,965.75 and 928,867.50 is: 1,934,666.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,965.75 : 928,867.50 = 928,867.50 : x
  2. Step 2: Convert to fraction form
    445,965.75/928,867.50 = 928,867.50/x
  3. Step 3: Cross multiply
    445,965.75x = 928,867.50 × 928,867.50
  4. Step 4: Simplify right side
    445,965.75x = 862,794,832,556.25
  5. Step 5: Solve for x
    x = 862,794,832,556.25/445,965.75
  6. Step 6: Final answer
    x = 1,934,666.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.