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Finding the Third Proportional to 643.97 and 904.88

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Solution

The third proportional to 643.97 and 904.88 is: 1,271.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.97 : 904.88 = 904.88 : x
  2. Step 2: Convert to fraction form
    643.97/904.88 = 904.88/x
  3. Step 3: Cross multiply
    643.97x = 904.88 × 904.88
  4. Step 4: Simplify right side
    643.97x = 818,798.77
  5. Step 5: Solve for x
    x = 818,798.77/643.97
  6. Step 6: Final answer
    x = 1,271.49

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.