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Finding the Third Proportional to 412,734 and 894,166.50

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Solution

The third proportional to 412,734 and 894,166.50 is: 1,937,164.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,734 : 894,166.50 = 894,166.50 : x
  2. Step 2: Convert to fraction form
    412,734/894,166.50 = 894,166.50/x
  3. Step 3: Cross multiply
    412,734x = 894,166.50 × 894,166.50
  4. Step 4: Simplify right side
    412,734x = 799,533,729,722.25
  5. Step 5: Solve for x
    x = 799,533,729,722.25/412,734
  6. Step 6: Final answer
    x = 1,937,164.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.