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Finding the Third Proportional to 264,111 and 569,289

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Solution

The third proportional to 264,111 and 569,289 is: 1,227,097.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,111 : 569,289 = 569,289 : x
  2. Step 2: Convert to fraction form
    264,111/569,289 = 569,289/x
  3. Step 3: Cross multiply
    264,111x = 569,289 × 569,289
  4. Step 4: Simplify right side
    264,111x = 324,089,965,521
  5. Step 5: Solve for x
    x = 324,089,965,521/264,111
  6. Step 6: Final answer
    x = 1,227,097.57

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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.