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Finding the Third Proportional to 365,148,131 and 565,605,728

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Solution

The third proportional to 365,148,131 and 565,605,728 is: 876,109,754.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,148,131 : 565,605,728 = 565,605,728 : x
  2. Step 2: Convert to fraction form
    365,148,131/565,605,728 = 565,605,728/x
  3. Step 3: Cross multiply
    365,148,131x = 565,605,728 × 565,605,728
  4. Step 4: Simplify right side
    365,148,131x = 319,909,839,546,409,984
  5. Step 5: Solve for x
    x = 319,909,839,546,409,984/365,148,131
  6. Step 6: Final answer
    x = 876,109,754.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.