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Finding the Third Proportional to 412,774.50 and 843,045

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Solution

The third proportional to 412,774.50 and 843,045 is: 1,721,823.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,774.50 : 843,045 = 843,045 : x
  2. Step 2: Convert to fraction form
    412,774.50/843,045 = 843,045/x
  3. Step 3: Cross multiply
    412,774.50x = 843,045 × 843,045
  4. Step 4: Simplify right side
    412,774.50x = 710,724,872,025
  5. Step 5: Solve for x
    x = 710,724,872,025/412,774.50
  6. Step 6: Final answer
    x = 1,721,823.59

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.