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Finding the Third Proportional to 356,634 and 743,157

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Solution

The third proportional to 356,634 and 743,157 is: 1,548,596.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,634 : 743,157 = 743,157 : x
  2. Step 2: Convert to fraction form
    356,634/743,157 = 743,157/x
  3. Step 3: Cross multiply
    356,634x = 743,157 × 743,157
  4. Step 4: Simplify right side
    356,634x = 552,282,326,649
  5. Step 5: Solve for x
    x = 552,282,326,649/356,634
  6. Step 6: Final answer
    x = 1,548,596.96

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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.