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Finding the Third Proportional to 288,630 and 452,764.69

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Solution

The third proportional to 288,630 and 452,764.69 is: 710,237.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,630 : 452,764.69 = 452,764.69 : x
  2. Step 2: Convert to fraction form
    288,630/452,764.69 = 452,764.69/x
  3. Step 3: Cross multiply
    288,630x = 452,764.69 × 452,764.69
  4. Step 4: Simplify right side
    288,630x = 204,995,862,246.97
  5. Step 5: Solve for x
    x = 204,995,862,246.97/288,630
  6. Step 6: Final answer
    x = 710,237.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.