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Finding the Third Proportional to 557,932 and 810,978

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Solution

The third proportional to 557,932 and 810,978 is: 1,178,791.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,932 : 810,978 = 810,978 : x
  2. Step 2: Convert to fraction form
    557,932/810,978 = 810,978/x
  3. Step 3: Cross multiply
    557,932x = 810,978 × 810,978
  4. Step 4: Simplify right side
    557,932x = 657,685,316,484
  5. Step 5: Solve for x
    x = 657,685,316,484/557,932
  6. Step 6: Final answer
    x = 1,178,791.17

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.