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Finding the Third Proportional to 236,994 and 526,476

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Solution

The third proportional to 236,994 and 526,476 is: 1,169,552.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,994 : 526,476 = 526,476 : x
  2. Step 2: Convert to fraction form
    236,994/526,476 = 526,476/x
  3. Step 3: Cross multiply
    236,994x = 526,476 × 526,476
  4. Step 4: Simplify right side
    236,994x = 277,176,978,576
  5. Step 5: Solve for x
    x = 277,176,978,576/236,994
  6. Step 6: Final answer
    x = 1,169,552.73

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.