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Finding the Third Proportional to 265,953 and 569,274

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Solution

The third proportional to 265,953 and 569,274 is: 1,218,534.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,953 : 569,274 = 569,274 : x
  2. Step 2: Convert to fraction form
    265,953/569,274 = 569,274/x
  3. Step 3: Cross multiply
    265,953x = 569,274 × 569,274
  4. Step 4: Simplify right side
    265,953x = 324,072,887,076
  5. Step 5: Solve for x
    x = 324,072,887,076/265,953
  6. Step 6: Final answer
    x = 1,218,534.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.