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Finding the Third Proportional to 200,577 and 437,127

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Solution

The third proportional to 200,577 and 437,127 is: 952,651.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,577 : 437,127 = 437,127 : x
  2. Step 2: Convert to fraction form
    200,577/437,127 = 437,127/x
  3. Step 3: Cross multiply
    200,577x = 437,127 × 437,127
  4. Step 4: Simplify right side
    200,577x = 191,080,014,129
  5. Step 5: Solve for x
    x = 191,080,014,129/200,577
  6. Step 6: Final answer
    x = 952,651.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.