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Finding the Third Proportional to 303,920.44 and 661,354.88

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Solution

The third proportional to 303,920.44 and 661,354.88 is: 1,439,160.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,920.44 : 661,354.88 = 661,354.88 : x
  2. Step 2: Convert to fraction form
    303,920.44/661,354.88 = 661,354.88/x
  3. Step 3: Cross multiply
    303,920.44x = 661,354.88 × 661,354.88
  4. Step 4: Simplify right side
    303,920.44x = 437,390,270,686.27
  5. Step 5: Solve for x
    x = 437,390,270,686.27/303,920.44
  6. Step 6: Final answer
    x = 1,439,160.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.