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Finding the Third Proportional to 264,128 and 569,324

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Solution

The third proportional to 264,128 and 569,324 is: 1,227,169.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,128 : 569,324 = 569,324 : x
  2. Step 2: Convert to fraction form
    264,128/569,324 = 569,324/x
  3. Step 3: Cross multiply
    264,128x = 569,324 × 569,324
  4. Step 4: Simplify right side
    264,128x = 324,129,816,976
  5. Step 5: Solve for x
    x = 324,129,816,976/264,128
  6. Step 6: Final answer
    x = 1,227,169.47

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Why These Related Problems?

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