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Finding the Third Proportional to 362,210 and 532,213

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Solution

The third proportional to 362,210 and 532,213 is: 782,006.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,210 : 532,213 = 532,213 : x
  2. Step 2: Convert to fraction form
    362,210/532,213 = 532,213/x
  3. Step 3: Cross multiply
    362,210x = 532,213 × 532,213
  4. Step 4: Simplify right side
    362,210x = 283,250,677,369
  5. Step 5: Solve for x
    x = 283,250,677,369/362,210
  6. Step 6: Final answer
    x = 782,006.78

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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.