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Finding the Third Proportional to 386,521 and 830,182

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Solution

The third proportional to 386,521 and 830,182 is: 1,783,091.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,521 : 830,182 = 830,182 : x
  2. Step 2: Convert to fraction form
    386,521/830,182 = 830,182/x
  3. Step 3: Cross multiply
    386,521x = 830,182 × 830,182
  4. Step 4: Simplify right side
    386,521x = 689,202,153,124
  5. Step 5: Solve for x
    x = 689,202,153,124/386,521
  6. Step 6: Final answer
    x = 1,783,091.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.