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Finding the Third Proportional to 349,670.25 and 522,348.75

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Solution

The third proportional to 349,670.25 and 522,348.75 is: 780,301.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,670.25 : 522,348.75 = 522,348.75 : x
  2. Step 2: Convert to fraction form
    349,670.25/522,348.75 = 522,348.75/x
  3. Step 3: Cross multiply
    349,670.25x = 522,348.75 × 522,348.75
  4. Step 4: Simplify right side
    349,670.25x = 272,848,216,626.56
  5. Step 5: Solve for x
    x = 272,848,216,626.56/349,670.25
  6. Step 6: Final answer
    x = 780,301.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.