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Finding the Third Proportional to 460,738.13 and 687,553.31

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Solution

The third proportional to 460,738.13 and 687,553.31 is: 1,026,026.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,738.13 : 687,553.31 = 687,553.31 : x
  2. Step 2: Convert to fraction form
    460,738.13/687,553.31 = 687,553.31/x
  3. Step 3: Cross multiply
    460,738.13x = 687,553.31 × 687,553.31
  4. Step 4: Simplify right side
    460,738.13x = 472,729,557,529.72
  5. Step 5: Solve for x
    x = 472,729,557,529.72/460,738.13
  6. Step 6: Final answer
    x = 1,026,026.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.