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Finding the Third Proportional to 380,934 and 829,596

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Solution

The third proportional to 380,934 and 829,596 is: 1,806,689.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,934 : 829,596 = 829,596 : x
  2. Step 2: Convert to fraction form
    380,934/829,596 = 829,596/x
  3. Step 3: Cross multiply
    380,934x = 829,596 × 829,596
  4. Step 4: Simplify right side
    380,934x = 688,229,523,216
  5. Step 5: Solve for x
    x = 688,229,523,216/380,934
  6. Step 6: Final answer
    x = 1,806,689.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.