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Finding the Third Proportional to 305,232 and 466,923

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Solution

The third proportional to 305,232 and 466,923 is: 714,266.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,232 : 466,923 = 466,923 : x
  2. Step 2: Convert to fraction form
    305,232/466,923 = 466,923/x
  3. Step 3: Cross multiply
    305,232x = 466,923 × 466,923
  4. Step 4: Simplify right side
    305,232x = 218,017,087,929
  5. Step 5: Solve for x
    x = 218,017,087,929/305,232
  6. Step 6: Final answer
    x = 714,266.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.