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Finding the Third Proportional to 248,772 and 536,856

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Solution

The third proportional to 248,772 and 536,856 is: 1,158,548.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,772 : 536,856 = 536,856 : x
  2. Step 2: Convert to fraction form
    248,772/536,856 = 536,856/x
  3. Step 3: Cross multiply
    248,772x = 536,856 × 536,856
  4. Step 4: Simplify right side
    248,772x = 288,214,364,736
  5. Step 5: Solve for x
    x = 288,214,364,736/248,772
  6. Step 6: Final answer
    x = 1,158,548.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.