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Finding the Third Proportional to 250,016 and 509,316

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Solution

The third proportional to 250,016 and 509,316 is: 1,037,544.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,016 : 509,316 = 509,316 : x
  2. Step 2: Convert to fraction form
    250,016/509,316 = 509,316/x
  3. Step 3: Cross multiply
    250,016x = 509,316 × 509,316
  4. Step 4: Simplify right side
    250,016x = 259,402,787,856
  5. Step 5: Solve for x
    x = 259,402,787,856/250,016
  6. Step 6: Final answer
    x = 1,037,544.75

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.