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Finding the Third Proportional to 248,410.13 and 538,828.88

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Solution

The third proportional to 248,410.13 and 538,828.88 is: 1,168,779.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,410.13 : 538,828.88 = 538,828.88 : x
  2. Step 2: Convert to fraction form
    248,410.13/538,828.88 = 538,828.88/x
  3. Step 3: Cross multiply
    248,410.13x = 538,828.88 × 538,828.88
  4. Step 4: Simplify right side
    248,410.13x = 290,336,556,533.77
  5. Step 5: Solve for x
    x = 290,336,556,533.77/248,410.13
  6. Step 6: Final answer
    x = 1,168,779.08

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Why These Related Problems?

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