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Finding the Third Proportional to 404,670.94 and 623,616.47

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Solution

The third proportional to 404,670.94 and 623,616.47 is: 961,021.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,670.94 : 623,616.47 = 623,616.47 : x
  2. Step 2: Convert to fraction form
    404,670.94/623,616.47 = 623,616.47/x
  3. Step 3: Cross multiply
    404,670.94x = 623,616.47 × 623,616.47
  4. Step 4: Simplify right side
    404,670.94x = 388,897,500,096.22
  5. Step 5: Solve for x
    x = 388,897,500,096.22/404,670.94
  6. Step 6: Final answer
    x = 961,021.57

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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.