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Finding the Third Proportional to 356,584 and 743,048

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Solution

The third proportional to 356,584 and 743,048 is: 1,548,359.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,584 : 743,048 = 743,048 : x
  2. Step 2: Convert to fraction form
    356,584/743,048 = 743,048/x
  3. Step 3: Cross multiply
    356,584x = 743,048 × 743,048
  4. Step 4: Simplify right side
    356,584x = 552,120,330,304
  5. Step 5: Solve for x
    x = 552,120,330,304/356,584
  6. Step 6: Final answer
    x = 1,548,359.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.