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Finding the Third Proportional to 341,058 and 568,395

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Solution

The third proportional to 341,058 and 568,395 is: 947,266.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,058 : 568,395 = 568,395 : x
  2. Step 2: Convert to fraction form
    341,058/568,395 = 568,395/x
  3. Step 3: Cross multiply
    341,058x = 568,395 × 568,395
  4. Step 4: Simplify right side
    341,058x = 323,072,876,025
  5. Step 5: Solve for x
    x = 323,072,876,025/341,058
  6. Step 6: Final answer
    x = 947,266.67

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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.