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Finding the Third Proportional to 427.13 and 646.31

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Solution

The third proportional to 427.13 and 646.31 is: 977.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.13 : 646.31 = 646.31 : x
  2. Step 2: Convert to fraction form
    427.13/646.31 = 646.31/x
  3. Step 3: Cross multiply
    427.13x = 646.31 × 646.31
  4. Step 4: Simplify right side
    427.13x = 417,719.85
  5. Step 5: Solve for x
    x = 417,719.85/427.13
  6. Step 6: Final answer
    x = 977.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.