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Finding the Third Proportional to 219,219 and 471,072.50

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Solution

The third proportional to 219,219 and 471,072.50 is: 1,012,272.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,219 : 471,072.50 = 471,072.50 : x
  2. Step 2: Convert to fraction form
    219,219/471,072.50 = 471,072.50/x
  3. Step 3: Cross multiply
    219,219x = 471,072.50 × 471,072.50
  4. Step 4: Simplify right side
    219,219x = 221,909,300,256.25
  5. Step 5: Solve for x
    x = 221,909,300,256.25/219,219
  6. Step 6: Final answer
    x = 1,012,272.20

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