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Finding the Third Proportional to 248,437 and 536,240

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Solution

The third proportional to 248,437 and 536,240 is: 1,157,449.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,437 : 536,240 = 536,240 : x
  2. Step 2: Convert to fraction form
    248,437/536,240 = 536,240/x
  3. Step 3: Cross multiply
    248,437x = 536,240 × 536,240
  4. Step 4: Simplify right side
    248,437x = 287,553,337,600
  5. Step 5: Solve for x
    x = 287,553,337,600/248,437
  6. Step 6: Final answer
    x = 1,157,449.73

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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.