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Finding the Third Proportional to 255,674 and 558,004

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Solution

The third proportional to 255,674 and 558,004 is: 1,217,833.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,674 : 558,004 = 558,004 : x
  2. Step 2: Convert to fraction form
    255,674/558,004 = 558,004/x
  3. Step 3: Cross multiply
    255,674x = 558,004 × 558,004
  4. Step 4: Simplify right side
    255,674x = 311,368,464,016
  5. Step 5: Solve for x
    x = 311,368,464,016/255,674
  6. Step 6: Final answer
    x = 1,217,833.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.