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Finding the Third Proportional to 248,718 and 542,967

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Solution

The third proportional to 248,718 and 542,967 is: 1,185,331.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,718 : 542,967 = 542,967 : x
  2. Step 2: Convert to fraction form
    248,718/542,967 = 542,967/x
  3. Step 3: Cross multiply
    248,718x = 542,967 × 542,967
  4. Step 4: Simplify right side
    248,718x = 294,813,163,089
  5. Step 5: Solve for x
    x = 294,813,163,089/248,718
  6. Step 6: Final answer
    x = 1,185,331.03

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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.