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Finding the Third Proportional to 362,273 and 532,324

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Solution

The third proportional to 362,273 and 532,324 is: 782,196.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,273 : 532,324 = 532,324 : x
  2. Step 2: Convert to fraction form
    362,273/532,324 = 532,324/x
  3. Step 3: Cross multiply
    362,273x = 532,324 × 532,324
  4. Step 4: Simplify right side
    362,273x = 283,368,840,976
  5. Step 5: Solve for x
    x = 283,368,840,976/362,273
  6. Step 6: Final answer
    x = 782,196.96

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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.