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Finding the Third Proportional to 250,458 and 556,971

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Solution

The third proportional to 250,458 and 556,971 is: 1,238,597.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,458 : 556,971 = 556,971 : x
  2. Step 2: Convert to fraction form
    250,458/556,971 = 556,971/x
  3. Step 3: Cross multiply
    250,458x = 556,971 × 556,971
  4. Step 4: Simplify right side
    250,458x = 310,216,694,841
  5. Step 5: Solve for x
    x = 310,216,694,841/250,458
  6. Step 6: Final answer
    x = 1,238,597.67

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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.