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Finding the Third Proportional to 266,382 and 585,252

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Solution

The third proportional to 266,382 and 585,252 is: 1,285,822.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,382 : 585,252 = 585,252 : x
  2. Step 2: Convert to fraction form
    266,382/585,252 = 585,252/x
  3. Step 3: Cross multiply
    266,382x = 585,252 × 585,252
  4. Step 4: Simplify right side
    266,382x = 342,519,903,504
  5. Step 5: Solve for x
    x = 342,519,903,504/266,382
  6. Step 6: Final answer
    x = 1,285,822.25

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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.