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Finding the Third Proportional to 823.75 and 1,303.50

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Solution

The third proportional to 823.75 and 1,303.50 is: 2,062.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.75 : 1,303.50 = 1,303.50 : x
  2. Step 2: Convert to fraction form
    823.75/1,303.50 = 1,303.50/x
  3. Step 3: Cross multiply
    823.75x = 1,303.50 × 1,303.50
  4. Step 4: Simplify right side
    823.75x = 1,699,112.25
  5. Step 5: Solve for x
    x = 1,699,112.25/823.75
  6. Step 6: Final answer
    x = 2,062.66

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.