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Finding the Third Proportional to 276,265.75 and 426,602.75

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Solution

The third proportional to 276,265.75 and 426,602.75 is: 658,749.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,265.75 : 426,602.75 = 426,602.75 : x
  2. Step 2: Convert to fraction form
    276,265.75/426,602.75 = 426,602.75/x
  3. Step 3: Cross multiply
    276,265.75x = 426,602.75 × 426,602.75
  4. Step 4: Simplify right side
    276,265.75x = 181,989,906,307.56
  5. Step 5: Solve for x
    x = 181,989,906,307.56/276,265.75
  6. Step 6: Final answer
    x = 658,749.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.