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Finding the Third Proportional to 579,753 and 835,026

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Solution

The third proportional to 579,753 and 835,026 is: 1,202,699.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,753 : 835,026 = 835,026 : x
  2. Step 2: Convert to fraction form
    579,753/835,026 = 835,026/x
  3. Step 3: Cross multiply
    579,753x = 835,026 × 835,026
  4. Step 4: Simplify right side
    579,753x = 697,268,420,676
  5. Step 5: Solve for x
    x = 697,268,420,676/579,753
  6. Step 6: Final answer
    x = 1,202,699.12

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.