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Finding the Third Proportional to 244,004 and 503,074

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Solution

The third proportional to 244,004 and 503,074 is: 1,037,210.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,004 : 503,074 = 503,074 : x
  2. Step 2: Convert to fraction form
    244,004/503,074 = 503,074/x
  3. Step 3: Cross multiply
    244,004x = 503,074 × 503,074
  4. Step 4: Simplify right side
    244,004x = 253,083,449,476
  5. Step 5: Solve for x
    x = 253,083,449,476/244,004
  6. Step 6: Final answer
    x = 1,037,210.25

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.