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Finding the Third Proportional to 337,235 and 698,244

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Solution

The third proportional to 337,235 and 698,244 is: 1,445,711.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,235 : 698,244 = 698,244 : x
  2. Step 2: Convert to fraction form
    337,235/698,244 = 698,244/x
  3. Step 3: Cross multiply
    337,235x = 698,244 × 698,244
  4. Step 4: Simplify right side
    337,235x = 487,544,683,536
  5. Step 5: Solve for x
    x = 487,544,683,536/337,235
  6. Step 6: Final answer
    x = 1,445,711.99

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.