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Finding the Third Proportional to 256,252.50 and 544,037.63

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Solution

The third proportional to 256,252.50 and 544,037.63 is: 1,155,020.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,252.50 : 544,037.63 = 544,037.63 : x
  2. Step 2: Convert to fraction form
    256,252.50/544,037.63 = 544,037.63/x
  3. Step 3: Cross multiply
    256,252.50x = 544,037.63 × 544,037.63
  4. Step 4: Simplify right side
    256,252.50x = 295,976,937,415.64
  5. Step 5: Solve for x
    x = 295,976,937,415.64/256,252.50
  6. Step 6: Final answer
    x = 1,155,020.68

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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.