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Finding the Third Proportional to 266,364 and 585,216

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Solution

The third proportional to 266,364 and 585,216 is: 1,285,750.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,364 : 585,216 = 585,216 : x
  2. Step 2: Convert to fraction form
    266,364/585,216 = 585,216/x
  3. Step 3: Cross multiply
    266,364x = 585,216 × 585,216
  4. Step 4: Simplify right side
    266,364x = 342,477,766,656
  5. Step 5: Solve for x
    x = 342,477,766,656/266,364
  6. Step 6: Final answer
    x = 1,285,750.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.