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Finding the Third Proportional to 293,992.50 and 623,310

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Solution

The third proportional to 293,992.50 and 623,310 is: 1,321,514.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,992.50 : 623,310 = 623,310 : x
  2. Step 2: Convert to fraction form
    293,992.50/623,310 = 623,310/x
  3. Step 3: Cross multiply
    293,992.50x = 623,310 × 623,310
  4. Step 4: Simplify right side
    293,992.50x = 388,515,356,100
  5. Step 5: Solve for x
    x = 388,515,356,100/293,992.50
  6. Step 6: Final answer
    x = 1,321,514.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.