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Finding the Third Proportional to 362,208 and 532,210

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Solution

The third proportional to 362,208 and 532,210 is: 782,002.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,208 : 532,210 = 532,210 : x
  2. Step 2: Convert to fraction form
    362,208/532,210 = 532,210/x
  3. Step 3: Cross multiply
    362,208x = 532,210 × 532,210
  4. Step 4: Simplify right side
    362,208x = 283,247,484,100
  5. Step 5: Solve for x
    x = 283,247,484,100/362,208
  6. Step 6: Final answer
    x = 782,002.29

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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.