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Finding the Third Proportional to 365,557.50 and 801,731.25

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Solution

The third proportional to 365,557.50 and 801,731.25 is: 1,758,336.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,557.50 : 801,731.25 = 801,731.25 : x
  2. Step 2: Convert to fraction form
    365,557.50/801,731.25 = 801,731.25/x
  3. Step 3: Cross multiply
    365,557.50x = 801,731.25 × 801,731.25
  4. Step 4: Simplify right side
    365,557.50x = 642,772,997,226.56
  5. Step 5: Solve for x
    x = 642,772,997,226.56/365,557.50
  6. Step 6: Final answer
    x = 1,758,336.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.