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Finding the Third Proportional to 362,275 and 532,328

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Solution

The third proportional to 362,275 and 532,328 is: 782,204.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,275 : 532,328 = 532,328 : x
  2. Step 2: Convert to fraction form
    362,275/532,328 = 532,328/x
  3. Step 3: Cross multiply
    362,275x = 532,328 × 532,328
  4. Step 4: Simplify right side
    362,275x = 283,373,099,584
  5. Step 5: Solve for x
    x = 283,373,099,584/362,275
  6. Step 6: Final answer
    x = 782,204.40

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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.