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Finding the Third Proportional to 245,625.75 and 538,008.75

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Solution

The third proportional to 245,625.75 and 538,008.75 is: 1,178,432.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,625.75 : 538,008.75 = 538,008.75 : x
  2. Step 2: Convert to fraction form
    245,625.75/538,008.75 = 538,008.75/x
  3. Step 3: Cross multiply
    245,625.75x = 538,008.75 × 538,008.75
  4. Step 4: Simplify right side
    245,625.75x = 289,453,415,076.56
  5. Step 5: Solve for x
    x = 289,453,415,076.56/245,625.75
  6. Step 6: Final answer
    x = 1,178,432.70

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.