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Finding the Third Proportional to 261,036 and 563,544

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Solution

The third proportional to 261,036 and 563,544 is: 1,216,620.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,036 : 563,544 = 563,544 : x
  2. Step 2: Convert to fraction form
    261,036/563,544 = 563,544/x
  3. Step 3: Cross multiply
    261,036x = 563,544 × 563,544
  4. Step 4: Simplify right side
    261,036x = 317,581,839,936
  5. Step 5: Solve for x
    x = 317,581,839,936/261,036
  6. Step 6: Final answer
    x = 1,216,620.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.