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Finding the Third Proportional to 653.06 and 935.44

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Solution

The third proportional to 653.06 and 935.44 is: 1,339.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.06 : 935.44 = 935.44 : x
  2. Step 2: Convert to fraction form
    653.06/935.44 = 935.44/x
  3. Step 3: Cross multiply
    653.06x = 935.44 × 935.44
  4. Step 4: Simplify right side
    653.06x = 875,043.32
  5. Step 5: Solve for x
    x = 875,043.32/653.06
  6. Step 6: Final answer
    x = 1,339.91

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.