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Finding the Third Proportional to 333,696 and 787,381.50

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Solution

The third proportional to 333,696 and 787,381.50 is: 1,857,887.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,696 : 787,381.50 = 787,381.50 : x
  2. Step 2: Convert to fraction form
    333,696/787,381.50 = 787,381.50/x
  3. Step 3: Cross multiply
    333,696x = 787,381.50 × 787,381.50
  4. Step 4: Simplify right side
    333,696x = 619,969,626,542.25
  5. Step 5: Solve for x
    x = 619,969,626,542.25/333,696
  6. Step 6: Final answer
    x = 1,857,887.50

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.