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Finding the Third Proportional to 258,228 and 556,002

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Solution

The third proportional to 258,228 and 556,002 is: 1,197,152.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,228 : 556,002 = 556,002 : x
  2. Step 2: Convert to fraction form
    258,228/556,002 = 556,002/x
  3. Step 3: Cross multiply
    258,228x = 556,002 × 556,002
  4. Step 4: Simplify right side
    258,228x = 309,138,224,004
  5. Step 5: Solve for x
    x = 309,138,224,004/258,228
  6. Step 6: Final answer
    x = 1,197,152.22

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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.