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Finding the Third Proportional to 305,028 and 474,003

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Solution

The third proportional to 305,028 and 474,003 is: 736,584.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,028 : 474,003 = 474,003 : x
  2. Step 2: Convert to fraction form
    305,028/474,003 = 474,003/x
  3. Step 3: Cross multiply
    305,028x = 474,003 × 474,003
  4. Step 4: Simplify right side
    305,028x = 224,678,844,009
  5. Step 5: Solve for x
    x = 224,678,844,009/305,028
  6. Step 6: Final answer
    x = 736,584.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.