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Finding the Third Proportional to 266,358.75 and 585,205.50

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Solution

The third proportional to 266,358.75 and 585,205.50 is: 1,285,730.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,358.75 : 585,205.50 = 585,205.50 : x
  2. Step 2: Convert to fraction form
    266,358.75/585,205.50 = 585,205.50/x
  3. Step 3: Cross multiply
    266,358.75x = 585,205.50 × 585,205.50
  4. Step 4: Simplify right side
    266,358.75x = 342,465,477,230.25
  5. Step 5: Solve for x
    x = 342,465,477,230.25/266,358.75
  6. Step 6: Final answer
    x = 1,285,730.16

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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.