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Finding the Third Proportional to 288,640.13 and 452,778.75

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Solution

The third proportional to 288,640.13 and 452,778.75 is: 710,256.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,640.13 : 452,778.75 = 452,778.75 : x
  2. Step 2: Convert to fraction form
    288,640.13/452,778.75 = 452,778.75/x
  3. Step 3: Cross multiply
    288,640.13x = 452,778.75 × 452,778.75
  4. Step 4: Simplify right side
    288,640.13x = 205,008,596,451.56
  5. Step 5: Solve for x
    x = 205,008,596,451.56/288,640.13
  6. Step 6: Final answer
    x = 710,256.75

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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.