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Finding the Third Proportional to 268,980 and 376,969

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Solution

The third proportional to 268,980 and 376,969 is: 528,312.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,980 : 376,969 = 376,969 : x
  2. Step 2: Convert to fraction form
    268,980/376,969 = 376,969/x
  3. Step 3: Cross multiply
    268,980x = 376,969 × 376,969
  4. Step 4: Simplify right side
    268,980x = 142,105,626,961
  5. Step 5: Solve for x
    x = 142,105,626,961/268,980
  6. Step 6: Final answer
    x = 528,312.99

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.