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Finding the Third Proportional to 577.34 and 631.34

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Solution

The third proportional to 577.34 and 631.34 is: 690.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.34 : 631.34 = 631.34 : x
  2. Step 2: Convert to fraction form
    577.34/631.34 = 631.34/x
  3. Step 3: Cross multiply
    577.34x = 631.34 × 631.34
  4. Step 4: Simplify right side
    577.34x = 398,585.07
  5. Step 5: Solve for x
    x = 398,585.07/577.34
  6. Step 6: Final answer
    x = 690.39

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.