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Finding the Third Proportional to 542,772 and 828,252

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Solution

The third proportional to 542,772 and 828,252 is: 1,263,884.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,772 : 828,252 = 828,252 : x
  2. Step 2: Convert to fraction form
    542,772/828,252 = 828,252/x
  3. Step 3: Cross multiply
    542,772x = 828,252 × 828,252
  4. Step 4: Simplify right side
    542,772x = 686,001,375,504
  5. Step 5: Solve for x
    x = 686,001,375,504/542,772
  6. Step 6: Final answer
    x = 1,263,884.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.