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Finding the Third Proportional to 379,464 and 576,966

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Solution

The third proportional to 379,464 and 576,966 is: 877,263.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,464 : 576,966 = 576,966 : x
  2. Step 2: Convert to fraction form
    379,464/576,966 = 576,966/x
  3. Step 3: Cross multiply
    379,464x = 576,966 × 576,966
  4. Step 4: Simplify right side
    379,464x = 332,889,765,156
  5. Step 5: Solve for x
    x = 332,889,765,156/379,464
  6. Step 6: Final answer
    x = 877,263.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.