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Finding the Third Proportional to 393,564 and 601,749

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Solution

The third proportional to 393,564 and 601,749 is: 920,058.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,564 : 601,749 = 601,749 : x
  2. Step 2: Convert to fraction form
    393,564/601,749 = 601,749/x
  3. Step 3: Cross multiply
    393,564x = 601,749 × 601,749
  4. Step 4: Simplify right side
    393,564x = 362,101,859,001
  5. Step 5: Solve for x
    x = 362,101,859,001/393,564
  6. Step 6: Final answer
    x = 920,058.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.