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Finding the Third Proportional to 271,353 and 567,465

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Solution

The third proportional to 271,353 and 567,465 is: 1,186,707.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,353 : 567,465 = 567,465 : x
  2. Step 2: Convert to fraction form
    271,353/567,465 = 567,465/x
  3. Step 3: Cross multiply
    271,353x = 567,465 × 567,465
  4. Step 4: Simplify right side
    271,353x = 322,016,526,225
  5. Step 5: Solve for x
    x = 322,016,526,225/271,353
  6. Step 6: Final answer
    x = 1,186,707.08

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.