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Finding the Third Proportional to 462 and 706.50

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Solution

The third proportional to 462 and 706.50 is: 1,080.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    462 : 706.50 = 706.50 : x
  2. Step 2: Convert to fraction form
    462/706.50 = 706.50/x
  3. Step 3: Cross multiply
    462x = 706.50 × 706.50
  4. Step 4: Simplify right side
    462x = 499,142.25
  5. Step 5: Solve for x
    x = 499,142.25/462
  6. Step 6: Final answer
    x = 1,080.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.