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Finding the Third Proportional to 547,216 and 828,096

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Solution

The third proportional to 547,216 and 828,096 is: 1,253,148.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,216 : 828,096 = 828,096 : x
  2. Step 2: Convert to fraction form
    547,216/828,096 = 828,096/x
  3. Step 3: Cross multiply
    547,216x = 828,096 × 828,096
  4. Step 4: Simplify right side
    547,216x = 685,742,985,216
  5. Step 5: Solve for x
    x = 685,742,985,216/547,216
  6. Step 6: Final answer
    x = 1,253,148.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.