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Finding the Third Proportional to 544,085 and 828,165

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Solution

The third proportional to 544,085 and 828,165 is: 1,260,570.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,085 : 828,165 = 828,165 : x
  2. Step 2: Convert to fraction form
    544,085/828,165 = 828,165/x
  3. Step 3: Cross multiply
    544,085x = 828,165 × 828,165
  4. Step 4: Simplify right side
    544,085x = 685,857,267,225
  5. Step 5: Solve for x
    x = 685,857,267,225/544,085
  6. Step 6: Final answer
    x = 1,260,570.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.