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Finding the Third Proportional to 297,378,976 and 644,173,136

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Solution

The third proportional to 297,378,976 and 644,173,136 is: 1,395,387,914.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,378,976 : 644,173,136 = 644,173,136 : x
  2. Step 2: Convert to fraction form
    297,378,976/644,173,136 = 644,173,136/x
  3. Step 3: Cross multiply
    297,378,976x = 644,173,136 × 644,173,136
  4. Step 4: Simplify right side
    297,378,976x = 414,959,029,144,074,496
  5. Step 5: Solve for x
    x = 414,959,029,144,074,496/297,378,976
  6. Step 6: Final answer
    x = 1,395,387,914.52

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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.