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Finding the Third Proportional to 369,564.19 and 408,444.19

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Solution

The third proportional to 369,564.19 and 408,444.19 is: 451,414.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,564.19 : 408,444.19 = 408,444.19 : x
  2. Step 2: Convert to fraction form
    369,564.19/408,444.19 = 408,444.19/x
  3. Step 3: Cross multiply
    369,564.19x = 408,444.19 × 408,444.19
  4. Step 4: Simplify right side
    369,564.19x = 166,826,654,302.54
  5. Step 5: Solve for x
    x = 166,826,654,302.54/369,564.19
  6. Step 6: Final answer
    x = 451,414.56

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.