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Finding the Third Proportional to 337,224 and 705,628

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Solution

The third proportional to 337,224 and 705,628 is: 1,476,498.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,224 : 705,628 = 705,628 : x
  2. Step 2: Convert to fraction form
    337,224/705,628 = 705,628/x
  3. Step 3: Cross multiply
    337,224x = 705,628 × 705,628
  4. Step 4: Simplify right side
    337,224x = 497,910,874,384
  5. Step 5: Solve for x
    x = 497,910,874,384/337,224
  6. Step 6: Final answer
    x = 1,476,498.93

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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.