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Finding the Third Proportional to 265,947 and 569,253

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Solution

The third proportional to 265,947 and 569,253 is: 1,218,472.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,947 : 569,253 = 569,253 : x
  2. Step 2: Convert to fraction form
    265,947/569,253 = 569,253/x
  3. Step 3: Cross multiply
    265,947x = 569,253 × 569,253
  4. Step 4: Simplify right side
    265,947x = 324,048,978,009
  5. Step 5: Solve for x
    x = 324,048,978,009/265,947
  6. Step 6: Final answer
    x = 1,218,472.02

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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.