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Finding the Third Proportional to 288,960.75 and 453,277.69

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Solution

The third proportional to 288,960.75 and 453,277.69 is: 711,033.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,960.75 : 453,277.69 = 453,277.69 : x
  2. Step 2: Convert to fraction form
    288,960.75/453,277.69 = 453,277.69/x
  3. Step 3: Cross multiply
    288,960.75x = 453,277.69 × 453,277.69
  4. Step 4: Simplify right side
    288,960.75x = 205,460,661,985.35
  5. Step 5: Solve for x
    x = 205,460,661,985.35/288,960.75
  6. Step 6: Final answer
    x = 711,033.11

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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.