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Finding the Third Proportional to 216,009.50 and 471,323

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Solution

The third proportional to 216,009.50 and 471,323 is: 1,028,405.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,009.50 : 471,323 = 471,323 : x
  2. Step 2: Convert to fraction form
    216,009.50/471,323 = 471,323/x
  3. Step 3: Cross multiply
    216,009.50x = 471,323 × 471,323
  4. Step 4: Simplify right side
    216,009.50x = 222,145,370,329
  5. Step 5: Solve for x
    x = 222,145,370,329/216,009.50
  6. Step 6: Final answer
    x = 1,028,405.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.