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Finding the Third Proportional to 270,568,684 and 579,401,074

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Solution

The third proportional to 270,568,684 and 579,401,074 is: 1,240,740,796.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,568,684 : 579,401,074 = 579,401,074 : x
  2. Step 2: Convert to fraction form
    270,568,684/579,401,074 = 579,401,074/x
  3. Step 3: Cross multiply
    270,568,684x = 579,401,074 × 579,401,074
  4. Step 4: Simplify right side
    270,568,684x = 335,705,604,552,353,472
  5. Step 5: Solve for x
    x = 335,705,604,552,353,472/270,568,684
  6. Step 6: Final answer
    x = 1,240,740,796.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.