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Finding the Third Proportional to 329,579,905 and 448,831,576

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Solution

The third proportional to 329,579,905 and 448,831,576 is: 611,231,997.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,579,905 : 448,831,576 = 448,831,576 : x
  2. Step 2: Convert to fraction form
    329,579,905/448,831,576 = 448,831,576/x
  3. Step 3: Cross multiply
    329,579,905x = 448,831,576 × 448,831,576
  4. Step 4: Simplify right side
    329,579,905x = 201,449,783,614,643,776
  5. Step 5: Solve for x
    x = 201,449,783,614,643,776/329,579,905
  6. Step 6: Final answer
    x = 611,231,997.34

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.