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Finding the Third Proportional to 248,362 and 536,412

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Solution

The third proportional to 248,362 and 536,412 is: 1,158,542.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,362 : 536,412 = 536,412 : x
  2. Step 2: Convert to fraction form
    248,362/536,412 = 536,412/x
  3. Step 3: Cross multiply
    248,362x = 536,412 × 536,412
  4. Step 4: Simplify right side
    248,362x = 287,737,833,744
  5. Step 5: Solve for x
    x = 287,737,833,744/248,362
  6. Step 6: Final answer
    x = 1,158,542.10

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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.