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Finding the Third Proportional to 252,961 and 338,497.50

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Solution

The third proportional to 252,961 and 338,497.50 is: 452,957.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,961 : 338,497.50 = 338,497.50 : x
  2. Step 2: Convert to fraction form
    252,961/338,497.50 = 338,497.50/x
  3. Step 3: Cross multiply
    252,961x = 338,497.50 × 338,497.50
  4. Step 4: Simplify right side
    252,961x = 114,580,557,506.25
  5. Step 5: Solve for x
    x = 114,580,557,506.25/252,961
  6. Step 6: Final answer
    x = 452,957.40

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.