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Finding the Third Proportional to 351,389.50 and 770,495

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Solution

The third proportional to 351,389.50 and 770,495 is: 1,689,471.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,389.50 : 770,495 = 770,495 : x
  2. Step 2: Convert to fraction form
    351,389.50/770,495 = 770,495/x
  3. Step 3: Cross multiply
    351,389.50x = 770,495 × 770,495
  4. Step 4: Simplify right side
    351,389.50x = 593,662,545,025
  5. Step 5: Solve for x
    x = 593,662,545,025/351,389.50
  6. Step 6: Final answer
    x = 1,689,471.50

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.