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Finding the Third Proportional to 262,449 and 574,774

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Solution

The third proportional to 262,449 and 574,774 is: 1,258,778.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,449 : 574,774 = 574,774 : x
  2. Step 2: Convert to fraction form
    262,449/574,774 = 574,774/x
  3. Step 3: Cross multiply
    262,449x = 574,774 × 574,774
  4. Step 4: Simplify right side
    262,449x = 330,365,151,076
  5. Step 5: Solve for x
    x = 330,365,151,076/262,449
  6. Step 6: Final answer
    x = 1,258,778.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.