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Finding the Third Proportional to 265,194 and 572,751

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Solution

The third proportional to 265,194 and 572,751 is: 1,236,995.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,194 : 572,751 = 572,751 : x
  2. Step 2: Convert to fraction form
    265,194/572,751 = 572,751/x
  3. Step 3: Cross multiply
    265,194x = 572,751 × 572,751
  4. Step 4: Simplify right side
    265,194x = 328,043,708,001
  5. Step 5: Solve for x
    x = 328,043,708,001/265,194
  6. Step 6: Final answer
    x = 1,236,995.21

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