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Finding the Third Proportional to 276,261.75 and 595,031.63

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Solution

The third proportional to 276,261.75 and 595,031.63 is: 1,281,620.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,261.75 : 595,031.63 = 595,031.63 : x
  2. Step 2: Convert to fraction form
    276,261.75/595,031.63 = 595,031.63/x
  3. Step 3: Cross multiply
    276,261.75x = 595,031.63 × 595,031.63
  4. Step 4: Simplify right side
    276,261.75x = 354,062,634,750.14
  5. Step 5: Solve for x
    x = 354,062,634,750.14/276,261.75
  6. Step 6: Final answer
    x = 1,281,620.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.