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Finding the Third Proportional to 268,010 and 574,900

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Solution

The third proportional to 268,010 and 574,900 is: 1,233,200.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,010 : 574,900 = 574,900 : x
  2. Step 2: Convert to fraction form
    268,010/574,900 = 574,900/x
  3. Step 3: Cross multiply
    268,010x = 574,900 × 574,900
  4. Step 4: Simplify right side
    268,010x = 330,510,010,000
  5. Step 5: Solve for x
    x = 330,510,010,000/268,010
  6. Step 6: Final answer
    x = 1,233,200.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.