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Finding the Third Proportional to 305,221.50 and 661,290

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Solution

The third proportional to 305,221.50 and 661,290 is: 1,432,744.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,221.50 : 661,290 = 661,290 : x
  2. Step 2: Convert to fraction form
    305,221.50/661,290 = 661,290/x
  3. Step 3: Cross multiply
    305,221.50x = 661,290 × 661,290
  4. Step 4: Simplify right side
    305,221.50x = 437,304,464,100
  5. Step 5: Solve for x
    x = 437,304,464,100/305,221.50
  6. Step 6: Final answer
    x = 1,432,744.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.