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Finding the Third Proportional to 579,042 and 835,345

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Solution

The third proportional to 579,042 and 835,345 is: 1,205,096.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,042 : 835,345 = 835,345 : x
  2. Step 2: Convert to fraction form
    579,042/835,345 = 835,345/x
  3. Step 3: Cross multiply
    579,042x = 835,345 × 835,345
  4. Step 4: Simplify right side
    579,042x = 697,801,269,025
  5. Step 5: Solve for x
    x = 697,801,269,025/579,042
  6. Step 6: Final answer
    x = 1,205,096.12

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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.