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Finding the Third Proportional to 599,362 and 843,105

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Solution

The third proportional to 599,362 and 843,105 is: 1,185,971.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,362 : 843,105 = 843,105 : x
  2. Step 2: Convert to fraction form
    599,362/843,105 = 843,105/x
  3. Step 3: Cross multiply
    599,362x = 843,105 × 843,105
  4. Step 4: Simplify right side
    599,362x = 710,826,041,025
  5. Step 5: Solve for x
    x = 710,826,041,025/599,362
  6. Step 6: Final answer
    x = 1,185,971.15

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.