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Finding the Third Proportional to 225,479.32 and 469,615.85

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Solution

The third proportional to 225,479.32 and 469,615.85 is: 978,089.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,479.32 : 469,615.85 = 469,615.85 : x
  2. Step 2: Convert to fraction form
    225,479.32/469,615.85 = 469,615.85/x
  3. Step 3: Cross multiply
    225,479.32x = 469,615.85 × 469,615.85
  4. Step 4: Simplify right side
    225,479.32x = 220,539,048,038.77
  5. Step 5: Solve for x
    x = 220,539,048,038.77/225,479.32
  6. Step 6: Final answer
    x = 978,089.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.