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Finding the Third Proportional to 297.58 and 424.30

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Solution

The third proportional to 297.58 and 424.30 is: 604.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.58 : 424.30 = 424.30 : x
  2. Step 2: Convert to fraction form
    297.58/424.30 = 424.30/x
  3. Step 3: Cross multiply
    297.58x = 424.30 × 424.30
  4. Step 4: Simplify right side
    297.58x = 180,031.15
  5. Step 5: Solve for x
    x = 180,031.15/297.58
  6. Step 6: Final answer
    x = 604.98

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.