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Finding the Third Proportional to 411,267 and 952,999.50

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Solution

The third proportional to 411,267 and 952,999.50 is: 2,208,317.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,267 : 952,999.50 = 952,999.50 : x
  2. Step 2: Convert to fraction form
    411,267/952,999.50 = 952,999.50/x
  3. Step 3: Cross multiply
    411,267x = 952,999.50 × 952,999.50
  4. Step 4: Simplify right side
    411,267x = 908,208,047,000.25
  5. Step 5: Solve for x
    x = 908,208,047,000.25/411,267
  6. Step 6: Final answer
    x = 2,208,317.34

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.