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Finding the Third Proportional to 228,084 and 528,564

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Solution

The third proportional to 228,084 and 528,564 is: 1,224,899.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,084 : 528,564 = 528,564 : x
  2. Step 2: Convert to fraction form
    228,084/528,564 = 528,564/x
  3. Step 3: Cross multiply
    228,084x = 528,564 × 528,564
  4. Step 4: Simplify right side
    228,084x = 279,379,902,096
  5. Step 5: Solve for x
    x = 279,379,902,096/228,084
  6. Step 6: Final answer
    x = 1,224,899.17

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.