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Finding the Third Proportional to 362,379 and 532,912.50

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Solution

The third proportional to 362,379 and 532,912.50 is: 783,698.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,379 : 532,912.50 = 532,912.50 : x
  2. Step 2: Convert to fraction form
    362,379/532,912.50 = 532,912.50/x
  3. Step 3: Cross multiply
    362,379x = 532,912.50 × 532,912.50
  4. Step 4: Simplify right side
    362,379x = 283,995,732,656.25
  5. Step 5: Solve for x
    x = 283,995,732,656.25/362,379
  6. Step 6: Final answer
    x = 783,698.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.