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Finding the Third Proportional to 552,757 and 828,973

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Solution

The third proportional to 552,757 and 828,973 is: 1,243,215.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,757 : 828,973 = 828,973 : x
  2. Step 2: Convert to fraction form
    552,757/828,973 = 828,973/x
  3. Step 3: Cross multiply
    552,757x = 828,973 × 828,973
  4. Step 4: Simplify right side
    552,757x = 687,196,234,729
  5. Step 5: Solve for x
    x = 687,196,234,729/552,757
  6. Step 6: Final answer
    x = 1,243,215.80

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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.