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Finding the Third Proportional to 305,212 and 466,890

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Solution

The third proportional to 305,212 and 466,890 is: 714,212.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,212 : 466,890 = 466,890 : x
  2. Step 2: Convert to fraction form
    305,212/466,890 = 466,890/x
  3. Step 3: Cross multiply
    305,212x = 466,890 × 466,890
  4. Step 4: Simplify right side
    305,212x = 217,986,272,100
  5. Step 5: Solve for x
    x = 217,986,272,100/305,212
  6. Step 6: Final answer
    x = 714,212.65

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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.