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Finding the Third Proportional to 302.34 and 655.31

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Solution

The third proportional to 302.34 and 655.31 is: 1,420.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.34 : 655.31 = 655.31 : x
  2. Step 2: Convert to fraction form
    302.34/655.31 = 655.31/x
  3. Step 3: Cross multiply
    302.34x = 655.31 × 655.31
  4. Step 4: Simplify right side
    302.34x = 429,434.47
  5. Step 5: Solve for x
    x = 429,434.47/302.34
  6. Step 6: Final answer
    x = 1,420.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.