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Finding the Third Proportional to 248,412.38 and 538,833.38

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Solution

The third proportional to 248,412.38 and 538,833.38 is: 1,168,788.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,412.38 : 538,833.38 = 538,833.38 : x
  2. Step 2: Convert to fraction form
    248,412.38/538,833.38 = 538,833.38/x
  3. Step 3: Cross multiply
    248,412.38x = 538,833.38 × 538,833.38
  4. Step 4: Simplify right side
    248,412.38x = 290,341,406,013.89
  5. Step 5: Solve for x
    x = 290,341,406,013.89/248,412.38
  6. Step 6: Final answer
    x = 1,168,788.01

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.