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Finding the Third Proportional to 241,080,460.50 and 523,259,025

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Solution

The third proportional to 241,080,460.50 and 523,259,025 is: 1,135,720,442.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,080,460.50 : 523,259,025 = 523,259,025 : x
  2. Step 2: Convert to fraction form
    241,080,460.50/523,259,025 = 523,259,025/x
  3. Step 3: Cross multiply
    241,080,460.50x = 523,259,025 × 523,259,025
  4. Step 4: Simplify right side
    241,080,460.50x = 273,800,007,243,950,624
  5. Step 5: Solve for x
    x = 273,800,007,243,950,624/241,080,460.50
  6. Step 6: Final answer
    x = 1,135,720,442.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.