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Finding the Third Proportional to 215,601 and 468,952.50

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Solution

The third proportional to 215,601 and 468,952.50 is: 1,020,015.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,601 : 468,952.50 = 468,952.50 : x
  2. Step 2: Convert to fraction form
    215,601/468,952.50 = 468,952.50/x
  3. Step 3: Cross multiply
    215,601x = 468,952.50 × 468,952.50
  4. Step 4: Simplify right side
    215,601x = 219,916,447,256.25
  5. Step 5: Solve for x
    x = 219,916,447,256.25/215,601
  6. Step 6: Final answer
    x = 1,020,015.90

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