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Finding the Third Proportional to 294,841.13 and 441,799.31

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Solution

The third proportional to 294,841.13 and 441,799.31 is: 662,006.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,841.13 : 441,799.31 = 441,799.31 : x
  2. Step 2: Convert to fraction form
    294,841.13/441,799.31 = 441,799.31/x
  3. Step 3: Cross multiply
    294,841.13x = 441,799.31 × 441,799.31
  4. Step 4: Simplify right side
    294,841.13x = 195,186,632,525.47
  5. Step 5: Solve for x
    x = 195,186,632,525.47/294,841.13
  6. Step 6: Final answer
    x = 662,006.13

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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.