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Finding the Third Proportional to 235,257 and 500,844

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Solution

The third proportional to 235,257 and 500,844 is: 1,066,258.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,257 : 500,844 = 500,844 : x
  2. Step 2: Convert to fraction form
    235,257/500,844 = 500,844/x
  3. Step 3: Cross multiply
    235,257x = 500,844 × 500,844
  4. Step 4: Simplify right side
    235,257x = 250,844,712,336
  5. Step 5: Solve for x
    x = 250,844,712,336/235,257
  6. Step 6: Final answer
    x = 1,066,258.23

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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.