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Finding the Third Proportional to 258,324 and 567,768

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Solution

The third proportional to 258,324 and 567,768 is: 1,247,892.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,324 : 567,768 = 567,768 : x
  2. Step 2: Convert to fraction form
    258,324/567,768 = 567,768/x
  3. Step 3: Cross multiply
    258,324x = 567,768 × 567,768
  4. Step 4: Simplify right side
    258,324x = 322,360,501,824
  5. Step 5: Solve for x
    x = 322,360,501,824/258,324
  6. Step 6: Final answer
    x = 1,247,892.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.