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Finding the Third Proportional to 466.45 and 653.80

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Solution

The third proportional to 466.45 and 653.80 is: 916.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.45 : 653.80 = 653.80 : x
  2. Step 2: Convert to fraction form
    466.45/653.80 = 653.80/x
  3. Step 3: Cross multiply
    466.45x = 653.80 × 653.80
  4. Step 4: Simplify right side
    466.45x = 427,455.46
  5. Step 5: Solve for x
    x = 427,455.46/466.45
  6. Step 6: Final answer
    x = 916.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.