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Finding the Third Proportional to 621,586 and 877,367

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Solution

The third proportional to 621,586 and 877,367 is: 1,238,401.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,586 : 877,367 = 877,367 : x
  2. Step 2: Convert to fraction form
    621,586/877,367 = 877,367/x
  3. Step 3: Cross multiply
    621,586x = 877,367 × 877,367
  4. Step 4: Simplify right side
    621,586x = 769,772,852,689
  5. Step 5: Solve for x
    x = 769,772,852,689/621,586
  6. Step 6: Final answer
    x = 1,238,401.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.