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Finding the Third Proportional to 219,218.50 and 471,071

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Solution

The third proportional to 219,218.50 and 471,071 is: 1,012,268.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,218.50 : 471,071 = 471,071 : x
  2. Step 2: Convert to fraction form
    219,218.50/471,071 = 471,071/x
  3. Step 3: Cross multiply
    219,218.50x = 471,071 × 471,071
  4. Step 4: Simplify right side
    219,218.50x = 221,907,887,041
  5. Step 5: Solve for x
    x = 221,907,887,041/219,218.50
  6. Step 6: Final answer
    x = 1,012,268.07

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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.