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Finding the Third Proportional to 460,255.50 and 952,467

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Solution

The third proportional to 460,255.50 and 952,467 is: 1,971,064.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,255.50 : 952,467 = 952,467 : x
  2. Step 2: Convert to fraction form
    460,255.50/952,467 = 952,467/x
  3. Step 3: Cross multiply
    460,255.50x = 952,467 × 952,467
  4. Step 4: Simplify right side
    460,255.50x = 907,193,386,089
  5. Step 5: Solve for x
    x = 907,193,386,089/460,255.50
  6. Step 6: Final answer
    x = 1,971,064.74

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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.