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Finding the Third Proportional to 448,264 and 694,044

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Solution

The third proportional to 448,264 and 694,044 is: 1,074,583.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,264 : 694,044 = 694,044 : x
  2. Step 2: Convert to fraction form
    448,264/694,044 = 694,044/x
  3. Step 3: Cross multiply
    448,264x = 694,044 × 694,044
  4. Step 4: Simplify right side
    448,264x = 481,697,073,936
  5. Step 5: Solve for x
    x = 481,697,073,936/448,264
  6. Step 6: Final answer
    x = 1,074,583.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.