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Finding the Third Proportional to 425.06 and 653.53

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Solution

The third proportional to 425.06 and 653.53 is: 1,004.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.06 : 653.53 = 653.53 : x
  2. Step 2: Convert to fraction form
    425.06/653.53 = 653.53/x
  3. Step 3: Cross multiply
    425.06x = 653.53 × 653.53
  4. Step 4: Simplify right side
    425.06x = 427,103.09
  5. Step 5: Solve for x
    x = 427,103.09/425.06
  6. Step 6: Final answer
    x = 1,004.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.