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Finding the Third Proportional to 412,304 and 588,024

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Solution

The third proportional to 412,304 and 588,024 is: 838,634.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,304 : 588,024 = 588,024 : x
  2. Step 2: Convert to fraction form
    412,304/588,024 = 588,024/x
  3. Step 3: Cross multiply
    412,304x = 588,024 × 588,024
  4. Step 4: Simplify right side
    412,304x = 345,772,224,576
  5. Step 5: Solve for x
    x = 345,772,224,576/412,304
  6. Step 6: Final answer
    x = 838,634.17

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.