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Finding the Third Proportional to 484,110 and 746,574

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Solution

The third proportional to 484,110 and 746,574 is: 1,151,334.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,110 : 746,574 = 746,574 : x
  2. Step 2: Convert to fraction form
    484,110/746,574 = 746,574/x
  3. Step 3: Cross multiply
    484,110x = 746,574 × 746,574
  4. Step 4: Simplify right side
    484,110x = 557,372,737,476
  5. Step 5: Solve for x
    x = 557,372,737,476/484,110
  6. Step 6: Final answer
    x = 1,151,334.90

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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.