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Finding the Third Proportional to 259,713 and 405,972

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Solution

The third proportional to 259,713 and 405,972 is: 634,597.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,713 : 405,972 = 405,972 : x
  2. Step 2: Convert to fraction form
    259,713/405,972 = 405,972/x
  3. Step 3: Cross multiply
    259,713x = 405,972 × 405,972
  4. Step 4: Simplify right side
    259,713x = 164,813,264,784
  5. Step 5: Solve for x
    x = 164,813,264,784/259,713
  6. Step 6: Final answer
    x = 634,597.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.