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Finding the Third Proportional to 453,010.22 and 633,673.13

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Solution

The third proportional to 453,010.22 and 633,673.13 is: 886,385.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,010.22 : 633,673.13 = 633,673.13 : x
  2. Step 2: Convert to fraction form
    453,010.22/633,673.13 = 633,673.13/x
  3. Step 3: Cross multiply
    453,010.22x = 633,673.13 × 633,673.13
  4. Step 4: Simplify right side
    453,010.22x = 401,541,629,347.27
  5. Step 5: Solve for x
    x = 401,541,629,347.27/453,010.22
  6. Step 6: Final answer
    x = 886,385.37

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.