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Finding the Third Proportional to 207,288 and 439,486.50

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Solution

The third proportional to 207,288 and 439,486.50 is: 931,787.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,288 : 439,486.50 = 439,486.50 : x
  2. Step 2: Convert to fraction form
    207,288/439,486.50 = 439,486.50/x
  3. Step 3: Cross multiply
    207,288x = 439,486.50 × 439,486.50
  4. Step 4: Simplify right side
    207,288x = 193,148,383,682.25
  5. Step 5: Solve for x
    x = 193,148,383,682.25/207,288
  6. Step 6: Final answer
    x = 931,787.58

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.