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Finding the Third Proportional to 459,432 and 958,176

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Solution

The third proportional to 459,432 and 958,176 is: 1,998,339.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,432 : 958,176 = 958,176 : x
  2. Step 2: Convert to fraction form
    459,432/958,176 = 958,176/x
  3. Step 3: Cross multiply
    459,432x = 958,176 × 958,176
  4. Step 4: Simplify right side
    459,432x = 918,101,246,976
  5. Step 5: Solve for x
    x = 918,101,246,976/459,432
  6. Step 6: Final answer
    x = 1,998,339.79

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.