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Finding the Third Proportional to 276,200 and 426,510.50

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Solution

The third proportional to 276,200 and 426,510.50 is: 658,621.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,200 : 426,510.50 = 426,510.50 : x
  2. Step 2: Convert to fraction form
    276,200/426,510.50 = 426,510.50/x
  3. Step 3: Cross multiply
    276,200x = 426,510.50 × 426,510.50
  4. Step 4: Simplify right side
    276,200x = 181,911,206,610.25
  5. Step 5: Solve for x
    x = 181,911,206,610.25/276,200
  6. Step 6: Final answer
    x = 658,621.31

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