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Finding the Third Proportional to 577.69 and 905.06

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Solution

The third proportional to 577.69 and 905.06 is: 1,417.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.69 : 905.06 = 905.06 : x
  2. Step 2: Convert to fraction form
    577.69/905.06 = 905.06/x
  3. Step 3: Cross multiply
    577.69x = 905.06 × 905.06
  4. Step 4: Simplify right side
    577.69x = 819,138.13
  5. Step 5: Solve for x
    x = 819,138.13/577.69
  6. Step 6: Final answer
    x = 1,417.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.