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Finding the Third Proportional to 362,977.50 and 833,139

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Solution

The third proportional to 362,977.50 and 833,139 is: 1,912,296.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,977.50 : 833,139 = 833,139 : x
  2. Step 2: Convert to fraction form
    362,977.50/833,139 = 833,139/x
  3. Step 3: Cross multiply
    362,977.50x = 833,139 × 833,139
  4. Step 4: Simplify right side
    362,977.50x = 694,120,593,321
  5. Step 5: Solve for x
    x = 694,120,593,321/362,977.50
  6. Step 6: Final answer
    x = 1,912,296.47

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.