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Finding the Third Proportional to 368,292 and 806,850

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Solution

The third proportional to 368,292 and 806,850 is: 1,767,637.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,292 : 806,850 = 806,850 : x
  2. Step 2: Convert to fraction form
    368,292/806,850 = 806,850/x
  3. Step 3: Cross multiply
    368,292x = 806,850 × 806,850
  4. Step 4: Simplify right side
    368,292x = 651,006,922,500
  5. Step 5: Solve for x
    x = 651,006,922,500/368,292
  6. Step 6: Final answer
    x = 1,767,637.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.