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Finding the Third Proportional to 508 and 741.50

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Solution

The third proportional to 508 and 741.50 is: 1,082.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    508 : 741.50 = 741.50 : x
  2. Step 2: Convert to fraction form
    508/741.50 = 741.50/x
  3. Step 3: Cross multiply
    508x = 741.50 × 741.50
  4. Step 4: Simplify right side
    508x = 549,822.25
  5. Step 5: Solve for x
    x = 549,822.25/508
  6. Step 6: Final answer
    x = 1,082.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.