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Finding the Third Proportional to 248,271 and 531,533

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Solution

The third proportional to 248,271 and 531,533 is: 1,137,979.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,271 : 531,533 = 531,533 : x
  2. Step 2: Convert to fraction form
    248,271/531,533 = 531,533/x
  3. Step 3: Cross multiply
    248,271x = 531,533 × 531,533
  4. Step 4: Simplify right side
    248,271x = 282,527,330,089
  5. Step 5: Solve for x
    x = 282,527,330,089/248,271
  6. Step 6: Final answer
    x = 1,137,979.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.