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Finding the Third Proportional to 460,249.50 and 952,455

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Solution

The third proportional to 460,249.50 and 952,455 is: 1,971,040.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,249.50 : 952,455 = 952,455 : x
  2. Step 2: Convert to fraction form
    460,249.50/952,455 = 952,455/x
  3. Step 3: Cross multiply
    460,249.50x = 952,455 × 952,455
  4. Step 4: Simplify right side
    460,249.50x = 907,170,527,025
  5. Step 5: Solve for x
    x = 907,170,527,025/460,249.50
  6. Step 6: Final answer
    x = 1,971,040.77

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.