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Finding the Third Proportional to 484,164 and 746,662

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Solution

The third proportional to 484,164 and 746,662 is: 1,151,477.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,164 : 746,662 = 746,662 : x
  2. Step 2: Convert to fraction form
    484,164/746,662 = 746,662/x
  3. Step 3: Cross multiply
    484,164x = 746,662 × 746,662
  4. Step 4: Simplify right side
    484,164x = 557,504,142,244
  5. Step 5: Solve for x
    x = 557,504,142,244/484,164
  6. Step 6: Final answer
    x = 1,151,477.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.