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Finding the Third Proportional to 460,450.88 and 968,620.50

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Solution

The third proportional to 460,450.88 and 968,620.50 is: 2,037,623.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,450.88 : 968,620.50 = 968,620.50 : x
  2. Step 2: Convert to fraction form
    460,450.88/968,620.50 = 968,620.50/x
  3. Step 3: Cross multiply
    460,450.88x = 968,620.50 × 968,620.50
  4. Step 4: Simplify right side
    460,450.88x = 938,225,673,020.25
  5. Step 5: Solve for x
    x = 938,225,673,020.25/460,450.88
  6. Step 6: Final answer
    x = 2,037,623.82

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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.