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Finding the Third Proportional to 579,768 and 835,055

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Solution

The third proportional to 579,768 and 835,055 is: 1,202,751.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,768 : 835,055 = 835,055 : x
  2. Step 2: Convert to fraction form
    579,768/835,055 = 835,055/x
  3. Step 3: Cross multiply
    579,768x = 835,055 × 835,055
  4. Step 4: Simplify right side
    579,768x = 697,316,853,025
  5. Step 5: Solve for x
    x = 697,316,853,025/579,768
  6. Step 6: Final answer
    x = 1,202,751.54

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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.