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Finding the Third Proportional to 353,880 and 769,967

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Solution

The third proportional to 353,880 and 769,967 is: 1,675,283.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,880 : 769,967 = 769,967 : x
  2. Step 2: Convert to fraction form
    353,880/769,967 = 769,967/x
  3. Step 3: Cross multiply
    353,880x = 769,967 × 769,967
  4. Step 4: Simplify right side
    353,880x = 592,849,181,089
  5. Step 5: Solve for x
    x = 592,849,181,089/353,880
  6. Step 6: Final answer
    x = 1,675,283.09

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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.