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Finding the Third Proportional to 262,370 and 414,797

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Solution

The third proportional to 262,370 and 414,797 is: 655,778.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,370 : 414,797 = 414,797 : x
  2. Step 2: Convert to fraction form
    262,370/414,797 = 414,797/x
  3. Step 3: Cross multiply
    262,370x = 414,797 × 414,797
  4. Step 4: Simplify right side
    262,370x = 172,056,551,209
  5. Step 5: Solve for x
    x = 172,056,551,209/262,370
  6. Step 6: Final answer
    x = 655,778.29

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.