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Finding the Third Proportional to 389,114 and 600,933

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Solution

The third proportional to 389,114 and 600,933 is: 928,058.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,114 : 600,933 = 600,933 : x
  2. Step 2: Convert to fraction form
    389,114/600,933 = 600,933/x
  3. Step 3: Cross multiply
    389,114x = 600,933 × 600,933
  4. Step 4: Simplify right side
    389,114x = 361,120,470,489
  5. Step 5: Solve for x
    x = 361,120,470,489/389,114
  6. Step 6: Final answer
    x = 928,058.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.