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Finding the Third Proportional to 371,900.25 and 589,683.75

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Solution

The third proportional to 371,900.25 and 589,683.75 is: 935,000.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,900.25 : 589,683.75 = 589,683.75 : x
  2. Step 2: Convert to fraction form
    371,900.25/589,683.75 = 589,683.75/x
  3. Step 3: Cross multiply
    371,900.25x = 589,683.75 × 589,683.75
  4. Step 4: Simplify right side
    371,900.25x = 347,726,925,014.06
  5. Step 5: Solve for x
    x = 347,726,925,014.06/371,900.25
  6. Step 6: Final answer
    x = 935,000.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.