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Finding the Third Proportional to 381,093,693.75 and 582,593,472

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Solution

The third proportional to 381,093,693.75 and 582,593,472 is: 890,634,400.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,093,693.75 : 582,593,472 = 582,593,472 : x
  2. Step 2: Convert to fraction form
    381,093,693.75/582,593,472 = 582,593,472/x
  3. Step 3: Cross multiply
    381,093,693.75x = 582,593,472 × 582,593,472
  4. Step 4: Simplify right side
    381,093,693.75x = 339,415,153,617,014,784
  5. Step 5: Solve for x
    x = 339,415,153,617,014,784/381,093,693.75
  6. Step 6: Final answer
    x = 890,634,400.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.