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Finding the Third Proportional to 196,580 and 462,073

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Solution

The third proportional to 196,580 and 462,073 is: 1,086,130.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,580 : 462,073 = 462,073 : x
  2. Step 2: Convert to fraction form
    196,580/462,073 = 462,073/x
  3. Step 3: Cross multiply
    196,580x = 462,073 × 462,073
  4. Step 4: Simplify right side
    196,580x = 213,511,457,329
  5. Step 5: Solve for x
    x = 213,511,457,329/196,580
  6. Step 6: Final answer
    x = 1,086,130.11

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.