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Finding the Third Proportional to 403,350 and 880,570

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Solution

The third proportional to 403,350 and 880,570 is: 1,922,408.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,350 : 880,570 = 880,570 : x
  2. Step 2: Convert to fraction form
    403,350/880,570 = 880,570/x
  3. Step 3: Cross multiply
    403,350x = 880,570 × 880,570
  4. Step 4: Simplify right side
    403,350x = 775,403,524,900
  5. Step 5: Solve for x
    x = 775,403,524,900/403,350
  6. Step 6: Final answer
    x = 1,922,408.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.