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Finding the Third Proportional to 233,292 and 482,136

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Solution

The third proportional to 233,292 and 482,136 is: 996,412.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,292 : 482,136 = 482,136 : x
  2. Step 2: Convert to fraction form
    233,292/482,136 = 482,136/x
  3. Step 3: Cross multiply
    233,292x = 482,136 × 482,136
  4. Step 4: Simplify right side
    233,292x = 232,455,122,496
  5. Step 5: Solve for x
    x = 232,455,122,496/233,292
  6. Step 6: Final answer
    x = 996,412.75

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.