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Finding the Third Proportional to 498 and 728.63

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Solution

The third proportional to 498 and 728.63 is: 1,066.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    498 : 728.63 = 728.63 : x
  2. Step 2: Convert to fraction form
    498/728.63 = 728.63/x
  3. Step 3: Cross multiply
    498x = 728.63 × 728.63
  4. Step 4: Simplify right side
    498x = 530,894.39
  5. Step 5: Solve for x
    x = 530,894.39/498
  6. Step 6: Final answer
    x = 1,066.05

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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.