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Finding the Third Proportional to 614,725.50 and 949,352.25

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Solution

The third proportional to 614,725.50 and 949,352.25 is: 1,466,133.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,725.50 : 949,352.25 = 949,352.25 : x
  2. Step 2: Convert to fraction form
    614,725.50/949,352.25 = 949,352.25/x
  3. Step 3: Cross multiply
    614,725.50x = 949,352.25 × 949,352.25
  4. Step 4: Simplify right side
    614,725.50x = 901,269,694,580.06
  5. Step 5: Solve for x
    x = 901,269,694,580.06/614,725.50
  6. Step 6: Final answer
    x = 1,466,133.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.