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Finding the Third Proportional to 393 and 561.50

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Solution

The third proportional to 393 and 561.50 is: 802.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    393 : 561.50 = 561.50 : x
  2. Step 2: Convert to fraction form
    393/561.50 = 561.50/x
  3. Step 3: Cross multiply
    393x = 561.50 × 561.50
  4. Step 4: Simplify right side
    393x = 315,282.25
  5. Step 5: Solve for x
    x = 315,282.25/393
  6. Step 6: Final answer
    x = 802.24

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.