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Finding the Third Proportional to 397,569 and 883,341

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Solution

The third proportional to 397,569 and 883,341 is: 1,962,656.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,569 : 883,341 = 883,341 : x
  2. Step 2: Convert to fraction form
    397,569/883,341 = 883,341/x
  3. Step 3: Cross multiply
    397,569x = 883,341 × 883,341
  4. Step 4: Simplify right side
    397,569x = 780,291,322,281
  5. Step 5: Solve for x
    x = 780,291,322,281/397,569
  6. Step 6: Final answer
    x = 1,962,656.35

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.