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Finding the Third Proportional to 263,401.88 and 621,578.81

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Solution

The third proportional to 263,401.88 and 621,578.81 is: 1,466,808.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,401.88 : 621,578.81 = 621,578.81 : x
  2. Step 2: Convert to fraction form
    263,401.88/621,578.81 = 621,578.81/x
  3. Step 3: Cross multiply
    263,401.88x = 621,578.81 × 621,578.81
  4. Step 4: Simplify right side
    263,401.88x = 386,360,220,148.91
  5. Step 5: Solve for x
    x = 386,360,220,148.91/263,401.88
  6. Step 6: Final answer
    x = 1,466,808.92

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.