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Finding the Third Proportional to 349,190,240 and 485,521,112

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Solution

The third proportional to 349,190,240 and 485,521,112 is: 675,078,290.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,190,240 : 485,521,112 = 485,521,112 : x
  2. Step 2: Convert to fraction form
    349,190,240/485,521,112 = 485,521,112/x
  3. Step 3: Cross multiply
    349,190,240x = 485,521,112 × 485,521,112
  4. Step 4: Simplify right side
    349,190,240x = 235,730,750,197,716,544
  5. Step 5: Solve for x
    x = 235,730,750,197,716,544/349,190,240
  6. Step 6: Final answer
    x = 675,078,290.27

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.