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Finding the Third Proportional to 196,994 and 435,460

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Solution

The third proportional to 196,994 and 435,460 is: 962,594.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,994 : 435,460 = 435,460 : x
  2. Step 2: Convert to fraction form
    196,994/435,460 = 435,460/x
  3. Step 3: Cross multiply
    196,994x = 435,460 × 435,460
  4. Step 4: Simplify right side
    196,994x = 189,625,411,600
  5. Step 5: Solve for x
    x = 189,625,411,600/196,994
  6. Step 6: Final answer
    x = 962,594.86

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.