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Finding the Third Proportional to 337,214 and 705,606

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Solution

The third proportional to 337,214 and 705,606 is: 1,476,450.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,214 : 705,606 = 705,606 : x
  2. Step 2: Convert to fraction form
    337,214/705,606 = 705,606/x
  3. Step 3: Cross multiply
    337,214x = 705,606 × 705,606
  4. Step 4: Simplify right side
    337,214x = 497,879,827,236
  5. Step 5: Solve for x
    x = 497,879,827,236/337,214
  6. Step 6: Final answer
    x = 1,476,450.64

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.