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Finding the Third Proportional to 248,331 and 552,871

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Solution

The third proportional to 248,331 and 552,871 is: 1,230,882.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,331 : 552,871 = 552,871 : x
  2. Step 2: Convert to fraction form
    248,331/552,871 = 552,871/x
  3. Step 3: Cross multiply
    248,331x = 552,871 × 552,871
  4. Step 4: Simplify right side
    248,331x = 305,666,342,641
  5. Step 5: Solve for x
    x = 305,666,342,641/248,331
  6. Step 6: Final answer
    x = 1,230,882.74

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.