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Finding the Third Proportional to 376,336 and 576,496

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Solution

The third proportional to 376,336 and 576,496 is: 883,114.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,336 : 576,496 = 576,496 : x
  2. Step 2: Convert to fraction form
    376,336/576,496 = 576,496/x
  3. Step 3: Cross multiply
    376,336x = 576,496 × 576,496
  4. Step 4: Simplify right side
    376,336x = 332,347,638,016
  5. Step 5: Solve for x
    x = 332,347,638,016/376,336
  6. Step 6: Final answer
    x = 883,114.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.