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Finding the Third Proportional to 266,359.50 and 585,206.50

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Solution

The third proportional to 266,359.50 and 585,206.50 is: 1,285,730.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,359.50 : 585,206.50 = 585,206.50 : x
  2. Step 2: Convert to fraction form
    266,359.50/585,206.50 = 585,206.50/x
  3. Step 3: Cross multiply
    266,359.50x = 585,206.50 × 585,206.50
  4. Step 4: Simplify right side
    266,359.50x = 342,466,647,642.25
  5. Step 5: Solve for x
    x = 342,466,647,642.25/266,359.50
  6. Step 6: Final answer
    x = 1,285,730.93

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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.