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Finding the Third Proportional to 563,930 and 823,391

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Solution

The third proportional to 563,930 and 823,391 is: 1,202,228.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,930 : 823,391 = 823,391 : x
  2. Step 2: Convert to fraction form
    563,930/823,391 = 823,391/x
  3. Step 3: Cross multiply
    563,930x = 823,391 × 823,391
  4. Step 4: Simplify right side
    563,930x = 677,972,738,881
  5. Step 5: Solve for x
    x = 677,972,738,881/563,930
  6. Step 6: Final answer
    x = 1,202,228.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.