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Finding the Third Proportional to 410,186.25 and 629,643.38

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Solution

The third proportional to 410,186.25 and 629,643.38 is: 966,514.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,186.25 : 629,643.38 = 629,643.38 : x
  2. Step 2: Convert to fraction form
    410,186.25/629,643.38 = 629,643.38/x
  3. Step 3: Cross multiply
    410,186.25x = 629,643.38 × 629,643.38
  4. Step 4: Simplify right side
    410,186.25x = 396,450,779,681.39
  5. Step 5: Solve for x
    x = 396,450,779,681.39/410,186.25
  6. Step 6: Final answer
    x = 966,514.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.