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Finding the Third Proportional to 553,686 and 791,764

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Solution

The third proportional to 553,686 and 791,764 is: 1,132,212.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,686 : 791,764 = 791,764 : x
  2. Step 2: Convert to fraction form
    553,686/791,764 = 791,764/x
  3. Step 3: Cross multiply
    553,686x = 791,764 × 791,764
  4. Step 4: Simplify right side
    553,686x = 626,890,231,696
  5. Step 5: Solve for x
    x = 626,890,231,696/553,686
  6. Step 6: Final answer
    x = 1,132,212.54

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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.