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Finding the Third Proportional to 211,036.50 and 462,096

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Solution

The third proportional to 211,036.50 and 462,096 is: 1,011,828.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,036.50 : 462,096 = 462,096 : x
  2. Step 2: Convert to fraction form
    211,036.50/462,096 = 462,096/x
  3. Step 3: Cross multiply
    211,036.50x = 462,096 × 462,096
  4. Step 4: Simplify right side
    211,036.50x = 213,532,713,216
  5. Step 5: Solve for x
    x = 213,532,713,216/211,036.50
  6. Step 6: Final answer
    x = 1,011,828.35

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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.