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Finding the Third Proportional to 362,938 and 788,012

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Solution

The third proportional to 362,938 and 788,012 is: 1,710,933.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,938 : 788,012 = 788,012 : x
  2. Step 2: Convert to fraction form
    362,938/788,012 = 788,012/x
  3. Step 3: Cross multiply
    362,938x = 788,012 × 788,012
  4. Step 4: Simplify right side
    362,938x = 620,962,912,144
  5. Step 5: Solve for x
    x = 620,962,912,144/362,938
  6. Step 6: Final answer
    x = 1,710,933.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.