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Finding the Third Proportional to 449,914.50 and 976,070.25

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Solution

The third proportional to 449,914.50 and 976,070.25 is: 2,117,542.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,914.50 : 976,070.25 = 976,070.25 : x
  2. Step 2: Convert to fraction form
    449,914.50/976,070.25 = 976,070.25/x
  3. Step 3: Cross multiply
    449,914.50x = 976,070.25 × 976,070.25
  4. Step 4: Simplify right side
    449,914.50x = 952,713,132,935.06
  5. Step 5: Solve for x
    x = 952,713,132,935.06/449,914.50
  6. Step 6: Final answer
    x = 2,117,542.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.