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Finding the Third Proportional to 448,295,484 and 703,179,614

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Solution

The third proportional to 448,295,484 and 703,179,614 is: 1,102,981,375.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,295,484 : 703,179,614 = 703,179,614 : x
  2. Step 2: Convert to fraction form
    448,295,484/703,179,614 = 703,179,614/x
  3. Step 3: Cross multiply
    448,295,484x = 703,179,614 × 703,179,614
  4. Step 4: Simplify right side
    448,295,484x = 494,461,569,545,188,992
  5. Step 5: Solve for x
    x = 494,461,569,545,188,992/448,295,484
  6. Step 6: Final answer
    x = 1,102,981,375.44

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.