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Finding the Third Proportional to 361,922 and 532,346

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Solution

The third proportional to 361,922 and 532,346 is: 783,020.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,922 : 532,346 = 532,346 : x
  2. Step 2: Convert to fraction form
    361,922/532,346 = 532,346/x
  3. Step 3: Cross multiply
    361,922x = 532,346 × 532,346
  4. Step 4: Simplify right side
    361,922x = 283,392,263,716
  5. Step 5: Solve for x
    x = 283,392,263,716/361,922
  6. Step 6: Final answer
    x = 783,020.27

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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.