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Finding the Third Proportional to 380,715.75 and 812,806.50

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Solution

The third proportional to 380,715.75 and 812,806.50 is: 1,735,295.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,715.75 : 812,806.50 = 812,806.50 : x
  2. Step 2: Convert to fraction form
    380,715.75/812,806.50 = 812,806.50/x
  3. Step 3: Cross multiply
    380,715.75x = 812,806.50 × 812,806.50
  4. Step 4: Simplify right side
    380,715.75x = 660,654,406,442.25
  5. Step 5: Solve for x
    x = 660,654,406,442.25/380,715.75
  6. Step 6: Final answer
    x = 1,735,295.71

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.