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Finding the Third Proportional to 248,266 and 539,732

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Solution

The third proportional to 248,266 and 539,732 is: 1,173,381.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,266 : 539,732 = 539,732 : x
  2. Step 2: Convert to fraction form
    248,266/539,732 = 539,732/x
  3. Step 3: Cross multiply
    248,266x = 539,732 × 539,732
  4. Step 4: Simplify right side
    248,266x = 291,310,631,824
  5. Step 5: Solve for x
    x = 291,310,631,824/248,266
  6. Step 6: Final answer
    x = 1,173,381.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.