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Finding the Third Proportional to 384,248 and 834,938

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Solution

The third proportional to 384,248 and 834,938 is: 1,814,248.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,248 : 834,938 = 834,938 : x
  2. Step 2: Convert to fraction form
    384,248/834,938 = 834,938/x
  3. Step 3: Cross multiply
    384,248x = 834,938 × 834,938
  4. Step 4: Simplify right side
    384,248x = 697,121,463,844
  5. Step 5: Solve for x
    x = 697,121,463,844/384,248
  6. Step 6: Final answer
    x = 1,814,248.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.