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Finding the Third Proportional to 356,557 and 791,845

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Solution

The third proportional to 356,557 and 791,845 is: 1,758,536.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,557 : 791,845 = 791,845 : x
  2. Step 2: Convert to fraction form
    356,557/791,845 = 791,845/x
  3. Step 3: Cross multiply
    356,557x = 791,845 × 791,845
  4. Step 4: Simplify right side
    356,557x = 627,018,504,025
  5. Step 5: Solve for x
    x = 627,018,504,025/356,557
  6. Step 6: Final answer
    x = 1,758,536.51

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.