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Finding the Third Proportional to 273,920 and 569,344

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Solution

The third proportional to 273,920 and 569,344 is: 1,183,384.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,920 : 569,344 = 569,344 : x
  2. Step 2: Convert to fraction form
    273,920/569,344 = 569,344/x
  3. Step 3: Cross multiply
    273,920x = 569,344 × 569,344
  4. Step 4: Simplify right side
    273,920x = 324,152,590,336
  5. Step 5: Solve for x
    x = 324,152,590,336/273,920
  6. Step 6: Final answer
    x = 1,183,384.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.