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Finding the Third Proportional to 554,678 and 792,641

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Solution

The third proportional to 554,678 and 792,641 is: 1,132,692.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,678 : 792,641 = 792,641 : x
  2. Step 2: Convert to fraction form
    554,678/792,641 = 792,641/x
  3. Step 3: Cross multiply
    554,678x = 792,641 × 792,641
  4. Step 4: Simplify right side
    554,678x = 628,279,754,881
  5. Step 5: Solve for x
    x = 628,279,754,881/554,678
  6. Step 6: Final answer
    x = 1,132,692.76

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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.