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Finding the Third Proportional to 305,224 and 661,294

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Solution

The third proportional to 305,224 and 661,294 is: 1,432,750.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,224 : 661,294 = 661,294 : x
  2. Step 2: Convert to fraction form
    305,224/661,294 = 661,294/x
  3. Step 3: Cross multiply
    305,224x = 661,294 × 661,294
  4. Step 4: Simplify right side
    305,224x = 437,309,754,436
  5. Step 5: Solve for x
    x = 437,309,754,436/305,224
  6. Step 6: Final answer
    x = 1,432,750.22

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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.