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Finding the Third Proportional to 245,728.69 and 538,786.69

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Solution

The third proportional to 245,728.69 and 538,786.69 is: 1,181,348.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,728.69 : 538,786.69 = 538,786.69 : x
  2. Step 2: Convert to fraction form
    245,728.69/538,786.69 = 538,786.69/x
  3. Step 3: Cross multiply
    245,728.69x = 538,786.69 × 538,786.69
  4. Step 4: Simplify right side
    245,728.69x = 290,291,094,627.22
  5. Step 5: Solve for x
    x = 290,291,094,627.22/245,728.69
  6. Step 6: Final answer
    x = 1,181,348.00

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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.