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Finding the Third Proportional to 205,030 and 440,716

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Solution

The third proportional to 205,030 and 440,716 is: 947,327.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,030 : 440,716 = 440,716 : x
  2. Step 2: Convert to fraction form
    205,030/440,716 = 440,716/x
  3. Step 3: Cross multiply
    205,030x = 440,716 × 440,716
  4. Step 4: Simplify right side
    205,030x = 194,230,592,656
  5. Step 5: Solve for x
    x = 194,230,592,656/205,030
  6. Step 6: Final answer
    x = 947,327.67

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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.