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Finding the Third Proportional to 366,848 and 526,920

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Solution

The third proportional to 366,848 and 526,920 is: 756,838.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,848 : 526,920 = 526,920 : x
  2. Step 2: Convert to fraction form
    366,848/526,920 = 526,920/x
  3. Step 3: Cross multiply
    366,848x = 526,920 × 526,920
  4. Step 4: Simplify right side
    366,848x = 277,644,686,400
  5. Step 5: Solve for x
    x = 277,644,686,400/366,848
  6. Step 6: Final answer
    x = 756,838.49

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.