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Finding the Third Proportional to 301,350 and 409,270.50

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Solution

The third proportional to 301,350 and 409,270.50 is: 555,839.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,350 : 409,270.50 = 409,270.50 : x
  2. Step 2: Convert to fraction form
    301,350/409,270.50 = 409,270.50/x
  3. Step 3: Cross multiply
    301,350x = 409,270.50 × 409,270.50
  4. Step 4: Simplify right side
    301,350x = 167,502,342,170.25
  5. Step 5: Solve for x
    x = 167,502,342,170.25/301,350
  6. Step 6: Final answer
    x = 555,839.86

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.