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Finding the Third Proportional to 202,627 and 469,084.50

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Solution

The third proportional to 202,627 and 469,084.50 is: 1,085,937.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,627 : 469,084.50 = 469,084.50 : x
  2. Step 2: Convert to fraction form
    202,627/469,084.50 = 469,084.50/x
  3. Step 3: Cross multiply
    202,627x = 469,084.50 × 469,084.50
  4. Step 4: Simplify right side
    202,627x = 220,040,268,140.25
  5. Step 5: Solve for x
    x = 220,040,268,140.25/202,627
  6. Step 6: Final answer
    x = 1,085,937.55

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.