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Finding the Third Proportional to 248,426 and 538,862

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Solution

The third proportional to 248,426 and 538,862 is: 1,168,848.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,426 : 538,862 = 538,862 : x
  2. Step 2: Convert to fraction form
    248,426/538,862 = 538,862/x
  3. Step 3: Cross multiply
    248,426x = 538,862 × 538,862
  4. Step 4: Simplify right side
    248,426x = 290,372,255,044
  5. Step 5: Solve for x
    x = 290,372,255,044/248,426
  6. Step 6: Final answer
    x = 1,168,848.09

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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.