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Finding the Third Proportional to 459.19 and 708.94

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Solution

The third proportional to 459.19 and 708.94 is: 1,094.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.19 : 708.94 = 708.94 : x
  2. Step 2: Convert to fraction form
    459.19/708.94 = 708.94/x
  3. Step 3: Cross multiply
    459.19x = 708.94 × 708.94
  4. Step 4: Simplify right side
    459.19x = 502,592.38
  5. Step 5: Solve for x
    x = 502,592.38/459.19
  6. Step 6: Final answer
    x = 1,094.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.