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Finding the Third Proportional to 268,953 and 585,215.50

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Solution

The third proportional to 268,953 and 585,215.50 is: 1,273,371.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,953 : 585,215.50 = 585,215.50 : x
  2. Step 2: Convert to fraction form
    268,953/585,215.50 = 585,215.50/x
  3. Step 3: Cross multiply
    268,953x = 585,215.50 × 585,215.50
  4. Step 4: Simplify right side
    268,953x = 342,477,181,440.25
  5. Step 5: Solve for x
    x = 342,477,181,440.25/268,953
  6. Step 6: Final answer
    x = 1,273,371.86

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.