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Finding the Third Proportional to 337,242 and 705,660

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Solution

The third proportional to 337,242 and 705,660 is: 1,476,554.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,242 : 705,660 = 705,660 : x
  2. Step 2: Convert to fraction form
    337,242/705,660 = 705,660/x
  3. Step 3: Cross multiply
    337,242x = 705,660 × 705,660
  4. Step 4: Simplify right side
    337,242x = 497,956,035,600
  5. Step 5: Solve for x
    x = 497,956,035,600/337,242
  6. Step 6: Final answer
    x = 1,476,554.03

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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.