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Finding the Third Proportional to 432,674.50 and 946,915.50

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Solution

The third proportional to 432,674.50 and 946,915.50 is: 2,072,340.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,674.50 : 946,915.50 = 946,915.50 : x
  2. Step 2: Convert to fraction form
    432,674.50/946,915.50 = 946,915.50/x
  3. Step 3: Cross multiply
    432,674.50x = 946,915.50 × 946,915.50
  4. Step 4: Simplify right side
    432,674.50x = 896,648,964,140.25
  5. Step 5: Solve for x
    x = 896,648,964,140.25/432,674.50
  6. Step 6: Final answer
    x = 2,072,340.67

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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.