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Finding the Third Proportional to 297.47 and 456.33

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Solution

The third proportional to 297.47 and 456.33 is: 700.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.47 : 456.33 = 456.33 : x
  2. Step 2: Convert to fraction form
    297.47/456.33 = 456.33/x
  3. Step 3: Cross multiply
    297.47x = 456.33 × 456.33
  4. Step 4: Simplify right side
    297.47x = 208,235.36
  5. Step 5: Solve for x
    x = 208,235.36/297.47
  6. Step 6: Final answer
    x = 700.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.