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Finding the Third Proportional to 278,390 and 606,964

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Solution

The third proportional to 278,390 and 606,964 is: 1,323,342.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,390 : 606,964 = 606,964 : x
  2. Step 2: Convert to fraction form
    278,390/606,964 = 606,964/x
  3. Step 3: Cross multiply
    278,390x = 606,964 × 606,964
  4. Step 4: Simplify right side
    278,390x = 368,405,297,296
  5. Step 5: Solve for x
    x = 368,405,297,296/278,390
  6. Step 6: Final answer
    x = 1,323,342.42

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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.