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Finding the Third Proportional to 196,742 and 423,584.25

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Solution

The third proportional to 196,742 and 423,584.25 is: 911,974.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,742 : 423,584.25 = 423,584.25 : x
  2. Step 2: Convert to fraction form
    196,742/423,584.25 = 423,584.25/x
  3. Step 3: Cross multiply
    196,742x = 423,584.25 × 423,584.25
  4. Step 4: Simplify right side
    196,742x = 179,423,616,848.06
  5. Step 5: Solve for x
    x = 179,423,616,848.06/196,742
  6. Step 6: Final answer
    x = 911,974.14

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.