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Finding the Third Proportional to 583.13 and 751.88

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Solution

The third proportional to 583.13 and 751.88 is: 969.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.13 : 751.88 = 751.88 : x
  2. Step 2: Convert to fraction form
    583.13/751.88 = 751.88/x
  3. Step 3: Cross multiply
    583.13x = 751.88 × 751.88
  4. Step 4: Simplify right side
    583.13x = 565,316.02
  5. Step 5: Solve for x
    x = 565,316.02/583.13
  6. Step 6: Final answer
    x = 969.46

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.