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Finding the Third Proportional to 366,946.88 and 744,221.25

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Solution

The third proportional to 366,946.88 and 744,221.25 is: 1,509,388.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,946.88 : 744,221.25 = 744,221.25 : x
  2. Step 2: Convert to fraction form
    366,946.88/744,221.25 = 744,221.25/x
  3. Step 3: Cross multiply
    366,946.88x = 744,221.25 × 744,221.25
  4. Step 4: Simplify right side
    366,946.88x = 553,865,268,951.56
  5. Step 5: Solve for x
    x = 553,865,268,951.56/366,946.88
  6. Step 6: Final answer
    x = 1,509,388.16

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.