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Finding the Third Proportional to 248,641 and 542,824

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Solution

The third proportional to 248,641 and 542,824 is: 1,185,073.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,641 : 542,824 = 542,824 : x
  2. Step 2: Convert to fraction form
    248,641/542,824 = 542,824/x
  3. Step 3: Cross multiply
    248,641x = 542,824 × 542,824
  4. Step 4: Simplify right side
    248,641x = 294,657,894,976
  5. Step 5: Solve for x
    x = 294,657,894,976/248,641
  6. Step 6: Final answer
    x = 1,185,073.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.