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Finding the Third Proportional to 387,466 and 834,305

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Solution

The third proportional to 387,466 and 834,305 is: 1,796,453.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,466 : 834,305 = 834,305 : x
  2. Step 2: Convert to fraction form
    387,466/834,305 = 834,305/x
  3. Step 3: Cross multiply
    387,466x = 834,305 × 834,305
  4. Step 4: Simplify right side
    387,466x = 696,064,833,025
  5. Step 5: Solve for x
    x = 696,064,833,025/387,466
  6. Step 6: Final answer
    x = 1,796,453.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.