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Finding the Third Proportional to 271,930 and 598,230

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Solution

The third proportional to 271,930 and 598,230 is: 1,316,070.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,930 : 598,230 = 598,230 : x
  2. Step 2: Convert to fraction form
    271,930/598,230 = 598,230/x
  3. Step 3: Cross multiply
    271,930x = 598,230 × 598,230
  4. Step 4: Simplify right side
    271,930x = 357,879,132,900
  5. Step 5: Solve for x
    x = 357,879,132,900/271,930
  6. Step 6: Final answer
    x = 1,316,070.80

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.