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Finding the Third Proportional to 409,244.63 and 892,827

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Solution

The third proportional to 409,244.63 and 892,827 is: 1,947,832.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,244.63 : 892,827 = 892,827 : x
  2. Step 2: Convert to fraction form
    409,244.63/892,827 = 892,827/x
  3. Step 3: Cross multiply
    409,244.63x = 892,827 × 892,827
  4. Step 4: Simplify right side
    409,244.63x = 797,140,051,929
  5. Step 5: Solve for x
    x = 797,140,051,929/409,244.63
  6. Step 6: Final answer
    x = 1,947,832.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.