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Finding the Third Proportional to 305,220 and 466,902

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Solution

The third proportional to 305,220 and 466,902 is: 714,230.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,220 : 466,902 = 466,902 : x
  2. Step 2: Convert to fraction form
    305,220/466,902 = 466,902/x
  3. Step 3: Cross multiply
    305,220x = 466,902 × 466,902
  4. Step 4: Simplify right side
    305,220x = 217,997,477,604
  5. Step 5: Solve for x
    x = 217,997,477,604/305,220
  6. Step 6: Final answer
    x = 714,230.65

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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.