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Finding the Third Proportional to 301,337.63 and 409,255.13

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Solution

The third proportional to 301,337.63 and 409,255.13 is: 555,820.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,337.63 : 409,255.13 = 409,255.13 : x
  2. Step 2: Convert to fraction form
    301,337.63/409,255.13 = 409,255.13/x
  3. Step 3: Cross multiply
    301,337.63x = 409,255.13 × 409,255.13
  4. Step 4: Simplify right side
    301,337.63x = 167,489,757,338.77
  5. Step 5: Solve for x
    x = 167,489,757,338.77/301,337.63
  6. Step 6: Final answer
    x = 555,820.92

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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.