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Finding the Third Proportional to 200,530 and 428,127.50

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Solution

The third proportional to 200,530 and 428,127.50 is: 914,043.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,530 : 428,127.50 = 428,127.50 : x
  2. Step 2: Convert to fraction form
    200,530/428,127.50 = 428,127.50/x
  3. Step 3: Cross multiply
    200,530x = 428,127.50 × 428,127.50
  4. Step 4: Simplify right side
    200,530x = 183,293,156,256.25
  5. Step 5: Solve for x
    x = 183,293,156,256.25/200,530
  6. Step 6: Final answer
    x = 914,043.57

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.