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Finding the Third Proportional to 379,462 and 576,963

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Solution

The third proportional to 379,462 and 576,963 is: 877,258.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,462 : 576,963 = 576,963 : x
  2. Step 2: Convert to fraction form
    379,462/576,963 = 576,963/x
  3. Step 3: Cross multiply
    379,462x = 576,963 × 576,963
  4. Step 4: Simplify right side
    379,462x = 332,886,303,369
  5. Step 5: Solve for x
    x = 332,886,303,369/379,462
  6. Step 6: Final answer
    x = 877,258.60

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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.