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Finding the Third Proportional to 294,841.69 and 441,800.16

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Solution

The third proportional to 294,841.69 and 441,800.16 is: 662,007.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,841.69 : 441,800.16 = 441,800.16 : x
  2. Step 2: Convert to fraction form
    294,841.69/441,800.16 = 441,800.16/x
  3. Step 3: Cross multiply
    294,841.69x = 441,800.16 × 441,800.16
  4. Step 4: Simplify right side
    294,841.69x = 195,187,378,062.52
  5. Step 5: Solve for x
    x = 195,187,378,062.52/294,841.69
  6. Step 6: Final answer
    x = 662,007.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.