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Finding the Third Proportional to 557,468 and 823,077

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Solution

The third proportional to 557,468 and 823,077 is: 1,215,237.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,468 : 823,077 = 823,077 : x
  2. Step 2: Convert to fraction form
    557,468/823,077 = 823,077/x
  3. Step 3: Cross multiply
    557,468x = 823,077 × 823,077
  4. Step 4: Simplify right side
    557,468x = 677,455,747,929
  5. Step 5: Solve for x
    x = 677,455,747,929/557,468
  6. Step 6: Final answer
    x = 1,215,237.01

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.