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Finding the Third Proportional to 297.42 and 437.06

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Solution

The third proportional to 297.42 and 437.06 is: 642.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.42 : 437.06 = 437.06 : x
  2. Step 2: Convert to fraction form
    297.42/437.06 = 437.06/x
  3. Step 3: Cross multiply
    297.42x = 437.06 × 437.06
  4. Step 4: Simplify right side
    297.42x = 191,023.63
  5. Step 5: Solve for x
    x = 191,023.63/297.42
  6. Step 6: Final answer
    x = 642.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.