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Finding the Third Proportional to 579,062.25 and 835,368

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Solution

The third proportional to 579,062.25 and 835,368 is: 1,205,120.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,062.25 : 835,368 = 835,368 : x
  2. Step 2: Convert to fraction form
    579,062.25/835,368 = 835,368/x
  3. Step 3: Cross multiply
    579,062.25x = 835,368 × 835,368
  4. Step 4: Simplify right side
    579,062.25x = 697,839,695,424
  5. Step 5: Solve for x
    x = 697,839,695,424/579,062.25
  6. Step 6: Final answer
    x = 1,205,120.34

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