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Finding the Third Proportional to 393,910 and 600,706

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Solution

The third proportional to 393,910 and 600,706 is: 916,066.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,910 : 600,706 = 600,706 : x
  2. Step 2: Convert to fraction form
    393,910/600,706 = 600,706/x
  3. Step 3: Cross multiply
    393,910x = 600,706 × 600,706
  4. Step 4: Simplify right side
    393,910x = 360,847,698,436
  5. Step 5: Solve for x
    x = 360,847,698,436/393,910
  6. Step 6: Final answer
    x = 916,066.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.