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Finding the Third Proportional to 502 and 906.50

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Solution

The third proportional to 502 and 906.50 is: 1,636.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    502 : 906.50 = 906.50 : x
  2. Step 2: Convert to fraction form
    502/906.50 = 906.50/x
  3. Step 3: Cross multiply
    502x = 906.50 × 906.50
  4. Step 4: Simplify right side
    502x = 821,742.25
  5. Step 5: Solve for x
    x = 821,742.25/502
  6. Step 6: Final answer
    x = 1,636.94

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.