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Finding the Third Proportional to 441,258 and 952,502

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Solution

The third proportional to 441,258 and 952,502 is: 2,056,076.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,258 : 952,502 = 952,502 : x
  2. Step 2: Convert to fraction form
    441,258/952,502 = 952,502/x
  3. Step 3: Cross multiply
    441,258x = 952,502 × 952,502
  4. Step 4: Simplify right side
    441,258x = 907,260,060,004
  5. Step 5: Solve for x
    x = 907,260,060,004/441,258
  6. Step 6: Final answer
    x = 2,056,076.17

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Why These Related Problems?

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