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Finding the Third Proportional to 473.06 and 653.27

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Solution

The third proportional to 473.06 and 653.27 is: 902.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.06 : 653.27 = 653.27 : x
  2. Step 2: Convert to fraction form
    473.06/653.27 = 653.27/x
  3. Step 3: Cross multiply
    473.06x = 653.27 × 653.27
  4. Step 4: Simplify right side
    473.06x = 426,766.18
  5. Step 5: Solve for x
    x = 426,766.18/473.06
  6. Step 6: Final answer
    x = 902.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.