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Finding the Third Proportional to 393,304 and 597,206

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Solution

The third proportional to 393,304 and 597,206 is: 906,817.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,304 : 597,206 = 597,206 : x
  2. Step 2: Convert to fraction form
    393,304/597,206 = 597,206/x
  3. Step 3: Cross multiply
    393,304x = 597,206 × 597,206
  4. Step 4: Simplify right side
    393,304x = 356,655,006,436
  5. Step 5: Solve for x
    x = 356,655,006,436/393,304
  6. Step 6: Final answer
    x = 906,817.64

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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.