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Finding the Third Proportional to 577.41 and 875.39

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Solution

The third proportional to 577.41 and 875.39 is: 1,327.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.41 : 875.39 = 875.39 : x
  2. Step 2: Convert to fraction form
    577.41/875.39 = 875.39/x
  3. Step 3: Cross multiply
    577.41x = 875.39 × 875.39
  4. Step 4: Simplify right side
    577.41x = 766,308.75
  5. Step 5: Solve for x
    x = 766,308.75/577.41
  6. Step 6: Final answer
    x = 1,327.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.