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Finding the Third Proportional to 337,228 and 705,632

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Solution

The third proportional to 337,228 and 705,632 is: 1,476,498.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,228 : 705,632 = 705,632 : x
  2. Step 2: Convert to fraction form
    337,228/705,632 = 705,632/x
  3. Step 3: Cross multiply
    337,228x = 705,632 × 705,632
  4. Step 4: Simplify right side
    337,228x = 497,916,519,424
  5. Step 5: Solve for x
    x = 497,916,519,424/337,228
  6. Step 6: Final answer
    x = 1,476,498.15

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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.