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Finding the Third Proportional to 290,796 and 626,136

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Solution

The third proportional to 290,796 and 626,136 is: 1,348,183.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,796 : 626,136 = 626,136 : x
  2. Step 2: Convert to fraction form
    290,796/626,136 = 626,136/x
  3. Step 3: Cross multiply
    290,796x = 626,136 × 626,136
  4. Step 4: Simplify right side
    290,796x = 392,046,290,496
  5. Step 5: Solve for x
    x = 392,046,290,496/290,796
  6. Step 6: Final answer
    x = 1,348,183.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.