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Finding the Third Proportional to 448,266 and 694,047

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Solution

The third proportional to 448,266 and 694,047 is: 1,074,587.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,266 : 694,047 = 694,047 : x
  2. Step 2: Convert to fraction form
    448,266/694,047 = 694,047/x
  3. Step 3: Cross multiply
    448,266x = 694,047 × 694,047
  4. Step 4: Simplify right side
    448,266x = 481,701,238,209
  5. Step 5: Solve for x
    x = 481,701,238,209/448,266
  6. Step 6: Final answer
    x = 1,074,587.94

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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.