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Finding the Third Proportional to 476 and 716.25

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Solution

The third proportional to 476 and 716.25 is: 1,077.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    476 : 716.25 = 716.25 : x
  2. Step 2: Convert to fraction form
    476/716.25 = 716.25/x
  3. Step 3: Cross multiply
    476x = 716.25 × 716.25
  4. Step 4: Simplify right side
    476x = 513,014.06
  5. Step 5: Solve for x
    x = 513,014.06/476
  6. Step 6: Final answer
    x = 1,077.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.