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Finding the Third Proportional to 248,632 and 536,576

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Solution

The third proportional to 248,632 and 536,576 is: 1,157,991.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,632 : 536,576 = 536,576 : x
  2. Step 2: Convert to fraction form
    248,632/536,576 = 536,576/x
  3. Step 3: Cross multiply
    248,632x = 536,576 × 536,576
  4. Step 4: Simplify right side
    248,632x = 287,913,803,776
  5. Step 5: Solve for x
    x = 287,913,803,776/248,632
  6. Step 6: Final answer
    x = 1,157,991.75

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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.