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Finding the Third Proportional to 290,442 and 629,136

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Solution

The third proportional to 290,442 and 629,136 is: 1,362,792.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,442 : 629,136 = 629,136 : x
  2. Step 2: Convert to fraction form
    290,442/629,136 = 629,136/x
  3. Step 3: Cross multiply
    290,442x = 629,136 × 629,136
  4. Step 4: Simplify right side
    290,442x = 395,812,106,496
  5. Step 5: Solve for x
    x = 395,812,106,496/290,442
  6. Step 6: Final answer
    x = 1,362,792.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.