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Finding the Third Proportional to 448,256 and 694,032

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Solution

The third proportional to 448,256 and 694,032 is: 1,074,565.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,256 : 694,032 = 694,032 : x
  2. Step 2: Convert to fraction form
    448,256/694,032 = 694,032/x
  3. Step 3: Cross multiply
    448,256x = 694,032 × 694,032
  4. Step 4: Simplify right side
    448,256x = 481,680,417,024
  5. Step 5: Solve for x
    x = 481,680,417,024/448,256
  6. Step 6: Final answer
    x = 1,074,565.46

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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.