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Finding the Third Proportional to 202,503 and 468,799.50

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Solution

The third proportional to 202,503 and 468,799.50 is: 1,085,282.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,503 : 468,799.50 = 468,799.50 : x
  2. Step 2: Convert to fraction form
    202,503/468,799.50 = 468,799.50/x
  3. Step 3: Cross multiply
    202,503x = 468,799.50 × 468,799.50
  4. Step 4: Simplify right side
    202,503x = 219,772,971,200.25
  5. Step 5: Solve for x
    x = 219,772,971,200.25/202,503
  6. Step 6: Final answer
    x = 1,085,282.54

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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.