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Finding the Third Proportional to 293,981.25 and 623,287.59

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Solution

The third proportional to 293,981.25 and 623,287.59 is: 1,321,470.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,981.25 : 623,287.59 = 623,287.59 : x
  2. Step 2: Convert to fraction form
    293,981.25/623,287.59 = 623,287.59/x
  3. Step 3: Cross multiply
    293,981.25x = 623,287.59 × 623,287.59
  4. Step 4: Simplify right side
    293,981.25x = 388,487,424,522.67
  5. Step 5: Solve for x
    x = 388,487,424,522.67/293,981.25
  6. Step 6: Final answer
    x = 1,321,470.08

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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.