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Finding the Third Proportional to 250,674 and 550,964

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Solution

The third proportional to 250,674 and 550,964 is: 1,210,980.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,674 : 550,964 = 550,964 : x
  2. Step 2: Convert to fraction form
    250,674/550,964 = 550,964/x
  3. Step 3: Cross multiply
    250,674x = 550,964 × 550,964
  4. Step 4: Simplify right side
    250,674x = 303,561,329,296
  5. Step 5: Solve for x
    x = 303,561,329,296/250,674
  6. Step 6: Final answer
    x = 1,210,980.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.