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Finding the Third Proportional to 362,148 and 532,116

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Solution

The third proportional to 362,148 and 532,116 is: 781,855.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,148 : 532,116 = 532,116 : x
  2. Step 2: Convert to fraction form
    362,148/532,116 = 532,116/x
  3. Step 3: Cross multiply
    362,148x = 532,116 × 532,116
  4. Step 4: Simplify right side
    362,148x = 283,147,437,456
  5. Step 5: Solve for x
    x = 283,147,437,456/362,148
  6. Step 6: Final answer
    x = 781,855.59

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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.