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Finding the Third Proportional to 444,090 and 658,480.50

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Solution

The third proportional to 444,090 and 658,480.50 is: 976,370.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,090 : 658,480.50 = 658,480.50 : x
  2. Step 2: Convert to fraction form
    444,090/658,480.50 = 658,480.50/x
  3. Step 3: Cross multiply
    444,090x = 658,480.50 × 658,480.50
  4. Step 4: Simplify right side
    444,090x = 433,596,568,880.25
  5. Step 5: Solve for x
    x = 433,596,568,880.25/444,090
  6. Step 6: Final answer
    x = 976,370.94

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.