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Finding the Third Proportional to 344,004 and 518,022

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Solution

The third proportional to 344,004 and 518,022 is: 780,068.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,004 : 518,022 = 518,022 : x
  2. Step 2: Convert to fraction form
    344,004/518,022 = 518,022/x
  3. Step 3: Cross multiply
    344,004x = 518,022 × 518,022
  4. Step 4: Simplify right side
    344,004x = 268,346,792,484
  5. Step 5: Solve for x
    x = 268,346,792,484/344,004
  6. Step 6: Final answer
    x = 780,068.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.