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Finding the Third Proportional to 219,219.50 and 471,073

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Solution

The third proportional to 219,219.50 and 471,073 is: 1,012,272.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,219.50 : 471,073 = 471,073 : x
  2. Step 2: Convert to fraction form
    219,219.50/471,073 = 471,073/x
  3. Step 3: Cross multiply
    219,219.50x = 471,073 × 471,073
  4. Step 4: Simplify right side
    219,219.50x = 221,909,771,329
  5. Step 5: Solve for x
    x = 221,909,771,329/219,219.50
  6. Step 6: Final answer
    x = 1,012,272.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.