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Finding the Third Proportional to 210,288.19 and 462,630.38

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Solution

The third proportional to 210,288.19 and 462,630.38 is: 1,017,778.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,288.19 : 462,630.38 = 462,630.38 : x
  2. Step 2: Convert to fraction form
    210,288.19/462,630.38 = 462,630.38/x
  3. Step 3: Cross multiply
    210,288.19x = 462,630.38 × 462,630.38
  4. Step 4: Simplify right side
    210,288.19x = 214,026,863,872.64
  5. Step 5: Solve for x
    x = 214,026,863,872.64/210,288.19
  6. Step 6: Final answer
    x = 1,017,778.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.