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Finding the Third Proportional to 503.75 and 803.88

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Solution

The third proportional to 503.75 and 803.88 is: 1,282.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.75 : 803.88 = 803.88 : x
  2. Step 2: Convert to fraction form
    503.75/803.88 = 803.88/x
  3. Step 3: Cross multiply
    503.75x = 803.88 × 803.88
  4. Step 4: Simplify right side
    503.75x = 646,215.02
  5. Step 5: Solve for x
    x = 646,215.02/503.75
  6. Step 6: Final answer
    x = 1,282.81

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.