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Finding the Third Proportional to 203,969 and 435,964

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Solution

The third proportional to 203,969 and 435,964 is: 931,830.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,969 : 435,964 = 435,964 : x
  2. Step 2: Convert to fraction form
    203,969/435,964 = 435,964/x
  3. Step 3: Cross multiply
    203,969x = 435,964 × 435,964
  4. Step 4: Simplify right side
    203,969x = 190,064,609,296
  5. Step 5: Solve for x
    x = 190,064,609,296/203,969
  6. Step 6: Final answer
    x = 931,830.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.