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Finding the Third Proportional to 459.84 and 597.38

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Solution

The third proportional to 459.84 and 597.38 is: 776.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.84 : 597.38 = 597.38 : x
  2. Step 2: Convert to fraction form
    459.84/597.38 = 597.38/x
  3. Step 3: Cross multiply
    459.84x = 597.38 × 597.38
  4. Step 4: Simplify right side
    459.84x = 356,856.89
  5. Step 5: Solve for x
    x = 356,856.89/459.84
  6. Step 6: Final answer
    x = 776.04

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.