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Finding the Third Proportional to 438,766.50 and 949,495.50

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Solution

The third proportional to 438,766.50 and 949,495.50 is: 2,054,718.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,766.50 : 949,495.50 = 949,495.50 : x
  2. Step 2: Convert to fraction form
    438,766.50/949,495.50 = 949,495.50/x
  3. Step 3: Cross multiply
    438,766.50x = 949,495.50 × 949,495.50
  4. Step 4: Simplify right side
    438,766.50x = 901,541,704,520.25
  5. Step 5: Solve for x
    x = 901,541,704,520.25/438,766.50
  6. Step 6: Final answer
    x = 2,054,718.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.