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Finding the Third Proportional to 466.93 and 712.80

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Solution

The third proportional to 466.93 and 712.80 is: 1,088.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.93 : 712.80 = 712.80 : x
  2. Step 2: Convert to fraction form
    466.93/712.80 = 712.80/x
  3. Step 3: Cross multiply
    466.93x = 712.80 × 712.80
  4. Step 4: Simplify right side
    466.93x = 508,089.48
  5. Step 5: Solve for x
    x = 508,089.48/466.93
  6. Step 6: Final answer
    x = 1,088.16

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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.