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Finding the Third Proportional to 258,891 and 556,207

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Solution

The third proportional to 258,891 and 556,207 is: 1,194,967.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,891 : 556,207 = 556,207 : x
  2. Step 2: Convert to fraction form
    258,891/556,207 = 556,207/x
  3. Step 3: Cross multiply
    258,891x = 556,207 × 556,207
  4. Step 4: Simplify right side
    258,891x = 309,366,226,849
  5. Step 5: Solve for x
    x = 309,366,226,849/258,891
  6. Step 6: Final answer
    x = 1,194,967.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.