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Finding the Third Proportional to 210,042.22 and 460,908.44

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Solution

The third proportional to 210,042.22 and 460,908.44 is: 1,011,399.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,042.22 : 460,908.44 = 460,908.44 : x
  2. Step 2: Convert to fraction form
    210,042.22/460,908.44 = 460,908.44/x
  3. Step 3: Cross multiply
    210,042.22x = 460,908.44 × 460,908.44
  4. Step 4: Simplify right side
    210,042.22x = 212,436,587,758.69
  5. Step 5: Solve for x
    x = 212,436,587,758.69/210,042.22
  6. Step 6: Final answer
    x = 1,011,399.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.