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Finding the Third Proportional to 323,487 and 697,518

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Solution

The third proportional to 323,487 and 697,518 is: 1,504,021.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,487 : 697,518 = 697,518 : x
  2. Step 2: Convert to fraction form
    323,487/697,518 = 697,518/x
  3. Step 3: Cross multiply
    323,487x = 697,518 × 697,518
  4. Step 4: Simplify right side
    323,487x = 486,531,360,324
  5. Step 5: Solve for x
    x = 486,531,360,324/323,487
  6. Step 6: Final answer
    x = 1,504,021.37

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.