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Finding the Third Proportional to 248,782 and 536,444

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Solution

The third proportional to 248,782 and 536,444 is: 1,156,724.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,782 : 536,444 = 536,444 : x
  2. Step 2: Convert to fraction form
    248,782/536,444 = 536,444/x
  3. Step 3: Cross multiply
    248,782x = 536,444 × 536,444
  4. Step 4: Simplify right side
    248,782x = 287,772,165,136
  5. Step 5: Solve for x
    x = 287,772,165,136/248,782
  6. Step 6: Final answer
    x = 1,156,724.22

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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.