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Finding the Third Proportional to 270,860.63 and 362,367

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Solution

The third proportional to 270,860.63 and 362,367 is: 484,787.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,860.63 : 362,367 = 362,367 : x
  2. Step 2: Convert to fraction form
    270,860.63/362,367 = 362,367/x
  3. Step 3: Cross multiply
    270,860.63x = 362,367 × 362,367
  4. Step 4: Simplify right side
    270,860.63x = 131,309,842,689
  5. Step 5: Solve for x
    x = 131,309,842,689/270,860.63
  6. Step 6: Final answer
    x = 484,787.49

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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.