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Finding the Third Proportional to 811.50 and 1,528.50

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Solution

The third proportional to 811.50 and 1,528.50 is: 2,879.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.50 : 1,528.50 = 1,528.50 : x
  2. Step 2: Convert to fraction form
    811.50/1,528.50 = 1,528.50/x
  3. Step 3: Cross multiply
    811.50x = 1,528.50 × 1,528.50
  4. Step 4: Simplify right side
    811.50x = 2,336,312.25
  5. Step 5: Solve for x
    x = 2,336,312.25/811.50
  6. Step 6: Final answer
    x = 2,879.00

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.