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Finding the Third Proportional to 264,108 and 569,284

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Solution

The third proportional to 264,108 and 569,284 is: 1,227,089.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,108 : 569,284 = 569,284 : x
  2. Step 2: Convert to fraction form
    264,108/569,284 = 569,284/x
  3. Step 3: Cross multiply
    264,108x = 569,284 × 569,284
  4. Step 4: Simplify right side
    264,108x = 324,084,272,656
  5. Step 5: Solve for x
    x = 324,084,272,656/264,108
  6. Step 6: Final answer
    x = 1,227,089.95

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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.