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Finding the Third Proportional to 229,317 and 490,023

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Solution

The third proportional to 229,317 and 490,023 is: 1,047,120.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,317 : 490,023 = 490,023 : x
  2. Step 2: Convert to fraction form
    229,317/490,023 = 490,023/x
  3. Step 3: Cross multiply
    229,317x = 490,023 × 490,023
  4. Step 4: Simplify right side
    229,317x = 240,122,540,529
  5. Step 5: Solve for x
    x = 240,122,540,529/229,317
  6. Step 6: Final answer
    x = 1,047,120.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.