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Finding the Third Proportional to 349,255.13 and 526,614.75

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Solution

The third proportional to 349,255.13 and 526,614.75 is: 794,041.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,255.13 : 526,614.75 = 526,614.75 : x
  2. Step 2: Convert to fraction form
    349,255.13/526,614.75 = 526,614.75/x
  3. Step 3: Cross multiply
    349,255.13x = 526,614.75 × 526,614.75
  4. Step 4: Simplify right side
    349,255.13x = 277,323,094,917.56
  5. Step 5: Solve for x
    x = 277,323,094,917.56/349,255.13
  6. Step 6: Final answer
    x = 794,041.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.