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Finding the Third Proportional to 459.94 and 711.84

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Solution

The third proportional to 459.94 and 711.84 is: 1,101.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.94 : 711.84 = 711.84 : x
  2. Step 2: Convert to fraction form
    459.94/711.84 = 711.84/x
  3. Step 3: Cross multiply
    459.94x = 711.84 × 711.84
  4. Step 4: Simplify right side
    459.94x = 506,721.52
  5. Step 5: Solve for x
    x = 506,721.52/459.94
  6. Step 6: Final answer
    x = 1,101.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.