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Finding the Third Proportional to 265,258 and 542,772

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Solution

The third proportional to 265,258 and 542,772 is: 1,110,622.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,258 : 542,772 = 542,772 : x
  2. Step 2: Convert to fraction form
    265,258/542,772 = 542,772/x
  3. Step 3: Cross multiply
    265,258x = 542,772 × 542,772
  4. Step 4: Simplify right side
    265,258x = 294,601,443,984
  5. Step 5: Solve for x
    x = 294,601,443,984/265,258
  6. Step 6: Final answer
    x = 1,110,622.28

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.