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Finding the Third Proportional to 552,750 and 828,963

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Solution

The third proportional to 552,750 and 828,963 is: 1,243,201.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,750 : 828,963 = 828,963 : x
  2. Step 2: Convert to fraction form
    552,750/828,963 = 828,963/x
  3. Step 3: Cross multiply
    552,750x = 828,963 × 828,963
  4. Step 4: Simplify right side
    552,750x = 687,179,655,369
  5. Step 5: Solve for x
    x = 687,179,655,369/552,750
  6. Step 6: Final answer
    x = 1,243,201.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.