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Finding the Third Proportional to 256,548 and 397,276.50

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Solution

The third proportional to 256,548 and 397,276.50 is: 615,201.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,548 : 397,276.50 = 397,276.50 : x
  2. Step 2: Convert to fraction form
    256,548/397,276.50 = 397,276.50/x
  3. Step 3: Cross multiply
    256,548x = 397,276.50 × 397,276.50
  4. Step 4: Simplify right side
    256,548x = 157,828,617,452.25
  5. Step 5: Solve for x
    x = 157,828,617,452.25/256,548
  6. Step 6: Final answer
    x = 615,201.12

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.