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Finding the Third Proportional to 588.28 and 903.77

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Solution

The third proportional to 588.28 and 903.77 is: 1,388.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.28 : 903.77 = 903.77 : x
  2. Step 2: Convert to fraction form
    588.28/903.77 = 903.77/x
  3. Step 3: Cross multiply
    588.28x = 903.77 × 903.77
  4. Step 4: Simplify right side
    588.28x = 816,809.07
  5. Step 5: Solve for x
    x = 816,809.07/588.28
  6. Step 6: Final answer
    x = 1,388.47

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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.