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Finding the Third Proportional to 256,624,264 and 598,810,644

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Solution

The third proportional to 256,624,264 and 598,810,644 is: 1,397,273,125.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,624,264 : 598,810,644 = 598,810,644 : x
  2. Step 2: Convert to fraction form
    256,624,264/598,810,644 = 598,810,644/x
  3. Step 3: Cross multiply
    256,624,264x = 598,810,644 × 598,810,644
  4. Step 4: Simplify right side
    256,624,264x = 358,574,187,367,694,720
  5. Step 5: Solve for x
    x = 358,574,187,367,694,720/256,624,264
  6. Step 6: Final answer
    x = 1,397,273,125.22

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.