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Finding the Third Proportional to 433,174 and 697,884

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Solution

The third proportional to 433,174 and 697,884 is: 1,124,356.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,174 : 697,884 = 697,884 : x
  2. Step 2: Convert to fraction form
    433,174/697,884 = 697,884/x
  3. Step 3: Cross multiply
    433,174x = 697,884 × 697,884
  4. Step 4: Simplify right side
    433,174x = 487,042,077,456
  5. Step 5: Solve for x
    x = 487,042,077,456/433,174
  6. Step 6: Final answer
    x = 1,124,356.67

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.