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Finding the Third Proportional to 235,258 and 500,846

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Solution

The third proportional to 235,258 and 500,846 is: 1,066,262.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,258 : 500,846 = 500,846 : x
  2. Step 2: Convert to fraction form
    235,258/500,846 = 500,846/x
  3. Step 3: Cross multiply
    235,258x = 500,846 × 500,846
  4. Step 4: Simplify right side
    235,258x = 250,846,715,716
  5. Step 5: Solve for x
    x = 250,846,715,716/235,258
  6. Step 6: Final answer
    x = 1,066,262.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.