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Finding the Third Proportional to 484,128 and 746,608

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Solution

The third proportional to 484,128 and 746,608 is: 1,151,396.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,128 : 746,608 = 746,608 : x
  2. Step 2: Convert to fraction form
    484,128/746,608 = 746,608/x
  3. Step 3: Cross multiply
    484,128x = 746,608 × 746,608
  4. Step 4: Simplify right side
    484,128x = 557,423,505,664
  5. Step 5: Solve for x
    x = 557,423,505,664/484,128
  6. Step 6: Final answer
    x = 1,151,396.96

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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.