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Finding the Third Proportional to 265,034 and 529,852

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Solution

The third proportional to 265,034 and 529,852 is: 1,059,272.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,034 : 529,852 = 529,852 : x
  2. Step 2: Convert to fraction form
    265,034/529,852 = 529,852/x
  3. Step 3: Cross multiply
    265,034x = 529,852 × 529,852
  4. Step 4: Simplify right side
    265,034x = 280,743,141,904
  5. Step 5: Solve for x
    x = 280,743,141,904/265,034
  6. Step 6: Final answer
    x = 1,059,272.18

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.