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Finding the Third Proportional to 356,580 and 743,040

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Solution

The third proportional to 356,580 and 743,040 is: 1,548,343.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,580 : 743,040 = 743,040 : x
  2. Step 2: Convert to fraction form
    356,580/743,040 = 743,040/x
  3. Step 3: Cross multiply
    356,580x = 743,040 × 743,040
  4. Step 4: Simplify right side
    356,580x = 552,108,441,600
  5. Step 5: Solve for x
    x = 552,108,441,600/356,580
  6. Step 6: Final answer
    x = 1,548,343.83

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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.