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Finding the Third Proportional to 288,324 and 459,134

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Solution

The third proportional to 288,324 and 459,134 is: 731,135.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,324 : 459,134 = 459,134 : x
  2. Step 2: Convert to fraction form
    288,324/459,134 = 459,134/x
  3. Step 3: Cross multiply
    288,324x = 459,134 × 459,134
  4. Step 4: Simplify right side
    288,324x = 210,804,029,956
  5. Step 5: Solve for x
    x = 210,804,029,956/288,324
  6. Step 6: Final answer
    x = 731,135.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.