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Finding the Third Proportional to 292,771 and 436,719

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Solution

The third proportional to 292,771 and 436,719 is: 651,442.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,771 : 436,719 = 436,719 : x
  2. Step 2: Convert to fraction form
    292,771/436,719 = 436,719/x
  3. Step 3: Cross multiply
    292,771x = 436,719 × 436,719
  4. Step 4: Simplify right side
    292,771x = 190,723,484,961
  5. Step 5: Solve for x
    x = 190,723,484,961/292,771
  6. Step 6: Final answer
    x = 651,442.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.