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Finding the Third Proportional to 519,231 and 1,121,500.50

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Solution

The third proportional to 519,231 and 1,121,500.50 is: 2,422,358.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,231 : 1,121,500.50 = 1,121,500.50 : x
  2. Step 2: Convert to fraction form
    519,231/1,121,500.50 = 1,121,500.50/x
  3. Step 3: Cross multiply
    519,231x = 1,121,500.50 × 1,121,500.50
  4. Step 4: Simplify right side
    519,231x = 1,257,763,371,500.25
  5. Step 5: Solve for x
    x = 1,257,763,371,500.25/519,231
  6. Step 6: Final answer
    x = 2,422,358.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.