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Finding the Third Proportional to 594,880 and 906,258

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Solution

The third proportional to 594,880 and 906,258 is: 1,380,620.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,880 : 906,258 = 906,258 : x
  2. Step 2: Convert to fraction form
    594,880/906,258 = 906,258/x
  3. Step 3: Cross multiply
    594,880x = 906,258 × 906,258
  4. Step 4: Simplify right side
    594,880x = 821,303,562,564
  5. Step 5: Solve for x
    x = 821,303,562,564/594,880
  6. Step 6: Final answer
    x = 1,380,620.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.