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Finding the Third Proportional to 393,266 and 601,359

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Solution

The third proportional to 393,266 and 601,359 is: 919,562.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,266 : 601,359 = 601,359 : x
  2. Step 2: Convert to fraction form
    393,266/601,359 = 601,359/x
  3. Step 3: Cross multiply
    393,266x = 601,359 × 601,359
  4. Step 4: Simplify right side
    393,266x = 361,632,646,881
  5. Step 5: Solve for x
    x = 361,632,646,881/393,266
  6. Step 6: Final answer
    x = 919,562.45

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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.