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Finding the Third Proportional to 265,085 and 569,722

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Solution

The third proportional to 265,085 and 569,722 is: 1,224,449.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,085 : 569,722 = 569,722 : x
  2. Step 2: Convert to fraction form
    265,085/569,722 = 569,722/x
  3. Step 3: Cross multiply
    265,085x = 569,722 × 569,722
  4. Step 4: Simplify right side
    265,085x = 324,583,157,284
  5. Step 5: Solve for x
    x = 324,583,157,284/265,085
  6. Step 6: Final answer
    x = 1,224,449.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.