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Finding the Third Proportional to 367,058 and 829,890

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Solution

The third proportional to 367,058 and 829,890 is: 1,876,317.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,058 : 829,890 = 829,890 : x
  2. Step 2: Convert to fraction form
    367,058/829,890 = 829,890/x
  3. Step 3: Cross multiply
    367,058x = 829,890 × 829,890
  4. Step 4: Simplify right side
    367,058x = 688,717,412,100
  5. Step 5: Solve for x
    x = 688,717,412,100/367,058
  6. Step 6: Final answer
    x = 1,876,317.67

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.