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Finding the Third Proportional to 463 and 770.50

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Solution

The third proportional to 463 and 770.50 is: 1,282.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    463 : 770.50 = 770.50 : x
  2. Step 2: Convert to fraction form
    463/770.50 = 770.50/x
  3. Step 3: Cross multiply
    463x = 770.50 × 770.50
  4. Step 4: Simplify right side
    463x = 593,670.25
  5. Step 5: Solve for x
    x = 593,670.25/463
  6. Step 6: Final answer
    x = 1,282.23

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.