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Finding the Third Proportional to 578,941 and 827,130

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Solution

The third proportional to 578,941 and 827,130 is: 1,181,716.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,941 : 827,130 = 827,130 : x
  2. Step 2: Convert to fraction form
    578,941/827,130 = 827,130/x
  3. Step 3: Cross multiply
    578,941x = 827,130 × 827,130
  4. Step 4: Simplify right side
    578,941x = 684,144,036,900
  5. Step 5: Solve for x
    x = 684,144,036,900/578,941
  6. Step 6: Final answer
    x = 1,181,716.34

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.