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Finding the Third Proportional to 337,170 and 705,507

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Solution

The third proportional to 337,170 and 705,507 is: 1,476,228.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,170 : 705,507 = 705,507 : x
  2. Step 2: Convert to fraction form
    337,170/705,507 = 705,507/x
  3. Step 3: Cross multiply
    337,170x = 705,507 × 705,507
  4. Step 4: Simplify right side
    337,170x = 497,740,127,049
  5. Step 5: Solve for x
    x = 497,740,127,049/337,170
  6. Step 6: Final answer
    x = 1,476,228.99

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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.