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Finding the Third Proportional to 577.88 and 753.94

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Solution

The third proportional to 577.88 and 753.94 is: 983.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.88 : 753.94 = 753.94 : x
  2. Step 2: Convert to fraction form
    577.88/753.94 = 753.94/x
  3. Step 3: Cross multiply
    577.88x = 753.94 × 753.94
  4. Step 4: Simplify right side
    577.88x = 568,421.75
  5. Step 5: Solve for x
    x = 568,421.75/577.88
  6. Step 6: Final answer
    x = 983.64

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.