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Finding the Third Proportional to 224,805.38 and 526,611.38

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Solution

The third proportional to 224,805.38 and 526,611.38 is: 1,233,598.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,805.38 : 526,611.38 = 526,611.38 : x
  2. Step 2: Convert to fraction form
    224,805.38/526,611.38 = 526,611.38/x
  3. Step 3: Cross multiply
    224,805.38x = 526,611.38 × 526,611.38
  4. Step 4: Simplify right side
    224,805.38x = 277,319,540,279.39
  5. Step 5: Solve for x
    x = 277,319,540,279.39/224,805.38
  6. Step 6: Final answer
    x = 1,233,598.35

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.