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Finding the Third Proportional to 258,336 and 567,594

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Solution

The third proportional to 258,336 and 567,594 is: 1,247,069.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,336 : 567,594 = 567,594 : x
  2. Step 2: Convert to fraction form
    258,336/567,594 = 567,594/x
  3. Step 3: Cross multiply
    258,336x = 567,594 × 567,594
  4. Step 4: Simplify right side
    258,336x = 322,162,948,836
  5. Step 5: Solve for x
    x = 322,162,948,836/258,336
  6. Step 6: Final answer
    x = 1,247,069.51

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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.