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Finding the Third Proportional to 270,568,678.50 and 579,401,064

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Solution

The third proportional to 270,568,678.50 and 579,401,064 is: 1,240,740,779.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,568,678.50 : 579,401,064 = 579,401,064 : x
  2. Step 2: Convert to fraction form
    270,568,678.50/579,401,064 = 579,401,064/x
  3. Step 3: Cross multiply
    270,568,678.50x = 579,401,064 × 579,401,064
  4. Step 4: Simplify right side
    270,568,678.50x = 335,705,592,964,332,096
  5. Step 5: Solve for x
    x = 335,705,592,964,332,096/270,568,678.50
  6. Step 6: Final answer
    x = 1,240,740,779.11

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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.