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Finding the Third Proportional to 216,950.50 and 471,219.50

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Solution

The third proportional to 216,950.50 and 471,219.50 is: 1,023,495.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,950.50 : 471,219.50 = 471,219.50 : x
  2. Step 2: Convert to fraction form
    216,950.50/471,219.50 = 471,219.50/x
  3. Step 3: Cross multiply
    216,950.50x = 471,219.50 × 471,219.50
  4. Step 4: Simplify right side
    216,950.50x = 222,047,817,180.25
  5. Step 5: Solve for x
    x = 222,047,817,180.25/216,950.50
  6. Step 6: Final answer
    x = 1,023,495.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.