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Finding the Third Proportional to 315,543.75 and 649,694.25

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Solution

The third proportional to 315,543.75 and 649,694.25 is: 1,337,699.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,543.75 : 649,694.25 = 649,694.25 : x
  2. Step 2: Convert to fraction form
    315,543.75/649,694.25 = 649,694.25/x
  3. Step 3: Cross multiply
    315,543.75x = 649,694.25 × 649,694.25
  4. Step 4: Simplify right side
    315,543.75x = 422,102,618,483.06
  5. Step 5: Solve for x
    x = 422,102,618,483.06/315,543.75
  6. Step 6: Final answer
    x = 1,337,699.19

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.