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Finding the Third Proportional to 211,036 and 462,095

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Solution

The third proportional to 211,036 and 462,095 is: 1,011,826.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,036 : 462,095 = 462,095 : x
  2. Step 2: Convert to fraction form
    211,036/462,095 = 462,095/x
  3. Step 3: Cross multiply
    211,036x = 462,095 × 462,095
  4. Step 4: Simplify right side
    211,036x = 213,531,789,025
  5. Step 5: Solve for x
    x = 213,531,789,025/211,036
  6. Step 6: Final answer
    x = 1,011,826.37

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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.