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Finding the Third Proportional to 262,449 and 535,968

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Solution

The third proportional to 262,449 and 535,968 is: 1,094,542.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,449 : 535,968 = 535,968 : x
  2. Step 2: Convert to fraction form
    262,449/535,968 = 535,968/x
  3. Step 3: Cross multiply
    262,449x = 535,968 × 535,968
  4. Step 4: Simplify right side
    262,449x = 287,261,697,024
  5. Step 5: Solve for x
    x = 287,261,697,024/262,449
  6. Step 6: Final answer
    x = 1,094,542.93

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.