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Finding the Third Proportional to 301,603.50 and 649,543.50

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Solution

The third proportional to 301,603.50 and 649,543.50 is: 1,398,878.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,603.50 : 649,543.50 = 649,543.50 : x
  2. Step 2: Convert to fraction form
    301,603.50/649,543.50 = 649,543.50/x
  3. Step 3: Cross multiply
    301,603.50x = 649,543.50 × 649,543.50
  4. Step 4: Simplify right side
    301,603.50x = 421,906,758,392.25
  5. Step 5: Solve for x
    x = 421,906,758,392.25/301,603.50
  6. Step 6: Final answer
    x = 1,398,878.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.