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Finding the Third Proportional to 414.98 and 602.93

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Solution

The third proportional to 414.98 and 602.93 is: 875.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.98 : 602.93 = 602.93 : x
  2. Step 2: Convert to fraction form
    414.98/602.93 = 602.93/x
  3. Step 3: Cross multiply
    414.98x = 602.93 × 602.93
  4. Step 4: Simplify right side
    414.98x = 363,524.21
  5. Step 5: Solve for x
    x = 363,524.21/414.98
  6. Step 6: Final answer
    x = 875.99

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.