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Finding the Third Proportional to 232,484 and 492,867

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Solution

The third proportional to 232,484 and 492,867 is: 1,044,879.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,484 : 492,867 = 492,867 : x
  2. Step 2: Convert to fraction form
    232,484/492,867 = 492,867/x
  3. Step 3: Cross multiply
    232,484x = 492,867 × 492,867
  4. Step 4: Simplify right side
    232,484x = 242,917,879,689
  5. Step 5: Solve for x
    x = 242,917,879,689/232,484
  6. Step 6: Final answer
    x = 1,044,879.99

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.