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Finding the Third Proportional to 403,646,578 and 613,632,483

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Solution

The third proportional to 403,646,578 and 613,632,483 is: 932,857,714.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,646,578 : 613,632,483 = 613,632,483 : x
  2. Step 2: Convert to fraction form
    403,646,578/613,632,483 = 613,632,483/x
  3. Step 3: Cross multiply
    403,646,578x = 613,632,483 × 613,632,483
  4. Step 4: Simplify right side
    403,646,578x = 376,544,824,192,745,280
  5. Step 5: Solve for x
    x = 376,544,824,192,745,280/403,646,578
  6. Step 6: Final answer
    x = 932,857,714.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.