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Finding the Third Proportional to 459,568 and 689,838

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Solution

The third proportional to 459,568 and 689,838 is: 1,035,486.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,568 : 689,838 = 689,838 : x
  2. Step 2: Convert to fraction form
    459,568/689,838 = 689,838/x
  3. Step 3: Cross multiply
    459,568x = 689,838 × 689,838
  4. Step 4: Simplify right side
    459,568x = 475,876,466,244
  5. Step 5: Solve for x
    x = 475,876,466,244/459,568
  6. Step 6: Final answer
    x = 1,035,486.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.