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Finding the Third Proportional to 250,370 and 556,714

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Solution

The third proportional to 250,370 and 556,714 is: 1,237,889.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,370 : 556,714 = 556,714 : x
  2. Step 2: Convert to fraction form
    250,370/556,714 = 556,714/x
  3. Step 3: Cross multiply
    250,370x = 556,714 × 556,714
  4. Step 4: Simplify right side
    250,370x = 309,930,477,796
  5. Step 5: Solve for x
    x = 309,930,477,796/250,370
  6. Step 6: Final answer
    x = 1,237,889.83

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.