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Finding the Third Proportional to 228,540 and 528,996

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Solution

The third proportional to 228,540 and 528,996 is: 1,224,454.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,540 : 528,996 = 528,996 : x
  2. Step 2: Convert to fraction form
    228,540/528,996 = 528,996/x
  3. Step 3: Cross multiply
    228,540x = 528,996 × 528,996
  4. Step 4: Simplify right side
    228,540x = 279,836,768,016
  5. Step 5: Solve for x
    x = 279,836,768,016/228,540
  6. Step 6: Final answer
    x = 1,224,454.22

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.