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Finding the Third Proportional to 337,244 and 705,664

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Solution

The third proportional to 337,244 and 705,664 is: 1,476,562.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,244 : 705,664 = 705,664 : x
  2. Step 2: Convert to fraction form
    337,244/705,664 = 705,664/x
  3. Step 3: Cross multiply
    337,244x = 705,664 × 705,664
  4. Step 4: Simplify right side
    337,244x = 497,961,680,896
  5. Step 5: Solve for x
    x = 497,961,680,896/337,244
  6. Step 6: Final answer
    x = 1,476,562.02

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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.