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Finding the Third Proportional to 294,752.25 and 444,609

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Solution

The third proportional to 294,752.25 and 444,609 is: 670,655.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,752.25 : 444,609 = 444,609 : x
  2. Step 2: Convert to fraction form
    294,752.25/444,609 = 444,609/x
  3. Step 3: Cross multiply
    294,752.25x = 444,609 × 444,609
  4. Step 4: Simplify right side
    294,752.25x = 197,677,162,881
  5. Step 5: Solve for x
    x = 197,677,162,881/294,752.25
  6. Step 6: Final answer
    x = 670,655.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.