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Finding the Third Proportional to 356,850 and 743,304

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Solution

The third proportional to 356,850 and 743,304 is: 1,548,271.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,850 : 743,304 = 743,304 : x
  2. Step 2: Convert to fraction form
    356,850/743,304 = 743,304/x
  3. Step 3: Cross multiply
    356,850x = 743,304 × 743,304
  4. Step 4: Simplify right side
    356,850x = 552,500,836,416
  5. Step 5: Solve for x
    x = 552,500,836,416/356,850
  6. Step 6: Final answer
    x = 1,548,271.92

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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.