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Finding the Third Proportional to 356,646 and 554,015

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Solution

The third proportional to 356,646 and 554,015 is: 860,608.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,646 : 554,015 = 554,015 : x
  2. Step 2: Convert to fraction form
    356,646/554,015 = 554,015/x
  3. Step 3: Cross multiply
    356,646x = 554,015 × 554,015
  4. Step 4: Simplify right side
    356,646x = 306,932,620,225
  5. Step 5: Solve for x
    x = 306,932,620,225/356,646
  6. Step 6: Final answer
    x = 860,608.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.