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Finding the Third Proportional to 248,456 and 536,464

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Solution

The third proportional to 248,456 and 536,464 is: 1,158,328.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,456 : 536,464 = 536,464 : x
  2. Step 2: Convert to fraction form
    248,456/536,464 = 536,464/x
  3. Step 3: Cross multiply
    248,456x = 536,464 × 536,464
  4. Step 4: Simplify right side
    248,456x = 287,793,623,296
  5. Step 5: Solve for x
    x = 287,793,623,296/248,456
  6. Step 6: Final answer
    x = 1,158,328.33

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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.