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Finding the Third Proportional to 260,078 and 567,784

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Solution

The third proportional to 260,078 and 567,784 is: 1,239,546.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,078 : 567,784 = 567,784 : x
  2. Step 2: Convert to fraction form
    260,078/567,784 = 567,784/x
  3. Step 3: Cross multiply
    260,078x = 567,784 × 567,784
  4. Step 4: Simplify right side
    260,078x = 322,378,670,656
  5. Step 5: Solve for x
    x = 322,378,670,656/260,078
  6. Step 6: Final answer
    x = 1,239,546.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.