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Finding the Third Proportional to 341,086.57 and 568,431.11

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Solution

The third proportional to 341,086.57 and 568,431.11 is: 947,307.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,086.57 : 568,431.11 = 568,431.11 : x
  2. Step 2: Convert to fraction form
    341,086.57/568,431.11 = 568,431.11/x
  3. Step 3: Cross multiply
    341,086.57x = 568,431.11 × 568,431.11
  4. Step 4: Simplify right side
    341,086.57x = 323,113,921,664.43
  5. Step 5: Solve for x
    x = 323,113,921,664.43/341,086.57
  6. Step 6: Final answer
    x = 947,307.66

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.