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Finding the Third Proportional to 579,062 and 835,383

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Solution

The third proportional to 579,062 and 835,383 is: 1,205,164.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,062 : 835,383 = 835,383 : x
  2. Step 2: Convert to fraction form
    579,062/835,383 = 835,383/x
  3. Step 3: Cross multiply
    579,062x = 835,383 × 835,383
  4. Step 4: Simplify right side
    579,062x = 697,864,756,689
  5. Step 5: Solve for x
    x = 697,864,756,689/579,062
  6. Step 6: Final answer
    x = 1,205,164.14

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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.