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Finding the Third Proportional to 219,862 and 481,803.50

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Solution

The third proportional to 219,862 and 481,803.50 is: 1,055,819.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,862 : 481,803.50 = 481,803.50 : x
  2. Step 2: Convert to fraction form
    219,862/481,803.50 = 481,803.50/x
  3. Step 3: Cross multiply
    219,862x = 481,803.50 × 481,803.50
  4. Step 4: Simplify right side
    219,862x = 232,134,612,612.25
  5. Step 5: Solve for x
    x = 232,134,612,612.25/219,862
  6. Step 6: Final answer
    x = 1,055,819.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.