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Finding the Third Proportional to 241,456,324 and 523,744,992

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Solution

The third proportional to 241,456,324 and 523,744,992 is: 1,136,059,773.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,456,324 : 523,744,992 = 523,744,992 : x
  2. Step 2: Convert to fraction form
    241,456,324/523,744,992 = 523,744,992/x
  3. Step 3: Cross multiply
    241,456,324x = 523,744,992 × 523,744,992
  4. Step 4: Simplify right side
    241,456,324x = 274,308,816,645,080,064
  5. Step 5: Solve for x
    x = 274,308,816,645,080,064/241,456,324
  6. Step 6: Final answer
    x = 1,136,059,773.05

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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.