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Finding the Third Proportional to 265,356 and 560,662

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Solution

The third proportional to 265,356 and 560,662 is: 1,184,604.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,356 : 560,662 = 560,662 : x
  2. Step 2: Convert to fraction form
    265,356/560,662 = 560,662/x
  3. Step 3: Cross multiply
    265,356x = 560,662 × 560,662
  4. Step 4: Simplify right side
    265,356x = 314,341,878,244
  5. Step 5: Solve for x
    x = 314,341,878,244/265,356
  6. Step 6: Final answer
    x = 1,184,604.37

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.