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Finding the Third Proportional to 211,037 and 462,097

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Solution

The third proportional to 211,037 and 462,097 is: 1,011,830.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,037 : 462,097 = 462,097 : x
  2. Step 2: Convert to fraction form
    211,037/462,097 = 462,097/x
  3. Step 3: Cross multiply
    211,037x = 462,097 × 462,097
  4. Step 4: Simplify right side
    211,037x = 213,533,637,409
  5. Step 5: Solve for x
    x = 213,533,637,409/211,037
  6. Step 6: Final answer
    x = 1,011,830.33

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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.