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Finding the Third Proportional to 603,211 and 884,518

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Solution

The third proportional to 603,211 and 884,518 is: 1,297,012.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,211 : 884,518 = 884,518 : x
  2. Step 2: Convert to fraction form
    603,211/884,518 = 884,518/x
  3. Step 3: Cross multiply
    603,211x = 884,518 × 884,518
  4. Step 4: Simplify right side
    603,211x = 782,372,092,324
  5. Step 5: Solve for x
    x = 782,372,092,324/603,211
  6. Step 6: Final answer
    x = 1,297,012.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.