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Finding the Third Proportional to 264,608 and 569,152

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Solution

The third proportional to 264,608 and 569,152 is: 1,224,203.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,608 : 569,152 = 569,152 : x
  2. Step 2: Convert to fraction form
    264,608/569,152 = 569,152/x
  3. Step 3: Cross multiply
    264,608x = 569,152 × 569,152
  4. Step 4: Simplify right side
    264,608x = 323,933,999,104
  5. Step 5: Solve for x
    x = 323,933,999,104/264,608
  6. Step 6: Final answer
    x = 1,224,203.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.