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Finding the Third Proportional to 293,075.09 and 438,382.44

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Solution

The third proportional to 293,075.09 and 438,382.44 is: 655,733.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,075.09 : 438,382.44 = 438,382.44 : x
  2. Step 2: Convert to fraction form
    293,075.09/438,382.44 = 438,382.44/x
  3. Step 3: Cross multiply
    293,075.09x = 438,382.44 × 438,382.44
  4. Step 4: Simplify right side
    293,075.09x = 192,179,164,933.30
  5. Step 5: Solve for x
    x = 192,179,164,933.30/293,075.09
  6. Step 6: Final answer
    x = 655,733.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.