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Finding the Third Proportional to 352,544 and 537,079

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Solution

The third proportional to 352,544 and 537,079 is: 818,206.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,544 : 537,079 = 537,079 : x
  2. Step 2: Convert to fraction form
    352,544/537,079 = 537,079/x
  3. Step 3: Cross multiply
    352,544x = 537,079 × 537,079
  4. Step 4: Simplify right side
    352,544x = 288,453,852,241
  5. Step 5: Solve for x
    x = 288,453,852,241/352,544
  6. Step 6: Final answer
    x = 818,206.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.