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Finding the Third Proportional to 453,017.25 and 633,684.38

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Solution

The third proportional to 453,017.25 and 633,684.38 is: 886,403.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,017.25 : 633,684.38 = 633,684.38 : x
  2. Step 2: Convert to fraction form
    453,017.25/633,684.38 = 633,684.38/x
  3. Step 3: Cross multiply
    453,017.25x = 633,684.38 × 633,684.38
  4. Step 4: Simplify right side
    453,017.25x = 401,555,887,119.14
  5. Step 5: Solve for x
    x = 401,555,887,119.14/453,017.25
  6. Step 6: Final answer
    x = 886,403.08

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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.