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Finding the Third Proportional to 412,966.50 and 848,166.50

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Solution

The third proportional to 412,966.50 and 848,166.50 is: 1,741,997.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,966.50 : 848,166.50 = 848,166.50 : x
  2. Step 2: Convert to fraction form
    412,966.50/848,166.50 = 848,166.50/x
  3. Step 3: Cross multiply
    412,966.50x = 848,166.50 × 848,166.50
  4. Step 4: Simplify right side
    412,966.50x = 719,386,411,722.25
  5. Step 5: Solve for x
    x = 719,386,411,722.25/412,966.50
  6. Step 6: Final answer
    x = 1,741,997.02

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.