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Finding the Third Proportional to 408,142.69 and 643,516.88

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Solution

The third proportional to 408,142.69 and 643,516.88 is: 1,014,630.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,142.69 : 643,516.88 = 643,516.88 : x
  2. Step 2: Convert to fraction form
    408,142.69/643,516.88 = 643,516.88/x
  3. Step 3: Cross multiply
    408,142.69x = 643,516.88 × 643,516.88
  4. Step 4: Simplify right side
    408,142.69x = 414,113,968,409.77
  5. Step 5: Solve for x
    x = 414,113,968,409.77/408,142.69
  6. Step 6: Final answer
    x = 1,014,630.38

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.