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Finding the Third Proportional to 467.06 and 776.53

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Solution

The third proportional to 467.06 and 776.53 is: 1,291.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.06 : 776.53 = 776.53 : x
  2. Step 2: Convert to fraction form
    467.06/776.53 = 776.53/x
  3. Step 3: Cross multiply
    467.06x = 776.53 × 776.53
  4. Step 4: Simplify right side
    467.06x = 603,000.78
  5. Step 5: Solve for x
    x = 603,000.78/467.06
  6. Step 6: Final answer
    x = 1,291.05

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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.