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Finding the Third Proportional to 248,670 and 536,652

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Solution

The third proportional to 248,670 and 536,652 is: 1,158,142.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,670 : 536,652 = 536,652 : x
  2. Step 2: Convert to fraction form
    248,670/536,652 = 536,652/x
  3. Step 3: Cross multiply
    248,670x = 536,652 × 536,652
  4. Step 4: Simplify right side
    248,670x = 287,995,369,104
  5. Step 5: Solve for x
    x = 287,995,369,104/248,670
  6. Step 6: Final answer
    x = 1,158,142.80

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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.