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Finding the Third Proportional to 453,012 and 633,676

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Solution

The third proportional to 453,012 and 633,676 is: 886,389.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,012 : 633,676 = 633,676 : x
  2. Step 2: Convert to fraction form
    453,012/633,676 = 633,676/x
  3. Step 3: Cross multiply
    453,012x = 633,676 × 633,676
  4. Step 4: Simplify right side
    453,012x = 401,545,272,976
  5. Step 5: Solve for x
    x = 401,545,272,976/453,012
  6. Step 6: Final answer
    x = 886,389.93

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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.