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Finding the Third Proportional to 276,983 and 612,093

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Solution

The third proportional to 276,983 and 612,093 is: 1,352,638.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,983 : 612,093 = 612,093 : x
  2. Step 2: Convert to fraction form
    276,983/612,093 = 612,093/x
  3. Step 3: Cross multiply
    276,983x = 612,093 × 612,093
  4. Step 4: Simplify right side
    276,983x = 374,657,840,649
  5. Step 5: Solve for x
    x = 374,657,840,649/276,983
  6. Step 6: Final answer
    x = 1,352,638.40

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.