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Finding the Third Proportional to 381,283 and 752,998

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Solution

The third proportional to 381,283 and 752,998 is: 1,487,100.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,283 : 752,998 = 752,998 : x
  2. Step 2: Convert to fraction form
    381,283/752,998 = 752,998/x
  3. Step 3: Cross multiply
    381,283x = 752,998 × 752,998
  4. Step 4: Simplify right side
    381,283x = 567,005,988,004
  5. Step 5: Solve for x
    x = 567,005,988,004/381,283
  6. Step 6: Final answer
    x = 1,487,100.10

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.