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Finding the Third Proportional to 655,056 and 842,616

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Solution

The third proportional to 655,056 and 842,616 is: 1,083,879.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,056 : 842,616 = 842,616 : x
  2. Step 2: Convert to fraction form
    655,056/842,616 = 842,616/x
  3. Step 3: Cross multiply
    655,056x = 842,616 × 842,616
  4. Step 4: Simplify right side
    655,056x = 710,001,723,456
  5. Step 5: Solve for x
    x = 710,001,723,456/655,056
  6. Step 6: Final answer
    x = 1,083,879.43

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.