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Finding the Third Proportional to 383,413.50 and 806,487

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Solution

The third proportional to 383,413.50 and 806,487 is: 1,696,396.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,413.50 : 806,487 = 806,487 : x
  2. Step 2: Convert to fraction form
    383,413.50/806,487 = 806,487/x
  3. Step 3: Cross multiply
    383,413.50x = 806,487 × 806,487
  4. Step 4: Simplify right side
    383,413.50x = 650,421,281,169
  5. Step 5: Solve for x
    x = 650,421,281,169/383,413.50
  6. Step 6: Final answer
    x = 1,696,396.40

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.