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Finding the Third Proportional to 301.01 and 459.42

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Solution

The third proportional to 301.01 and 459.42 is: 701.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.01 : 459.42 = 459.42 : x
  2. Step 2: Convert to fraction form
    301.01/459.42 = 459.42/x
  3. Step 3: Cross multiply
    301.01x = 459.42 × 459.42
  4. Step 4: Simplify right side
    301.01x = 211,068.46
  5. Step 5: Solve for x
    x = 211,068.46/301.01
  6. Step 6: Final answer
    x = 701.21

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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.