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Finding the Third Proportional to 408,351,600 and 627,665,736

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Solution

The third proportional to 408,351,600 and 627,665,736 is: 964,767,313.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,351,600 : 627,665,736 = 627,665,736 : x
  2. Step 2: Convert to fraction form
    408,351,600/627,665,736 = 627,665,736/x
  3. Step 3: Cross multiply
    408,351,600x = 627,665,736 × 627,665,736
  4. Step 4: Simplify right side
    408,351,600x = 393,964,276,148,421,696
  5. Step 5: Solve for x
    x = 393,964,276,148,421,696/408,351,600
  6. Step 6: Final answer
    x = 964,767,313.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.