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Finding the Third Proportional to 248,356 and 536,400

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Solution

The third proportional to 248,356 and 536,400 is: 1,158,518.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,356 : 536,400 = 536,400 : x
  2. Step 2: Convert to fraction form
    248,356/536,400 = 536,400/x
  3. Step 3: Cross multiply
    248,356x = 536,400 × 536,400
  4. Step 4: Simplify right side
    248,356x = 287,724,960,000
  5. Step 5: Solve for x
    x = 287,724,960,000/248,356
  6. Step 6: Final answer
    x = 1,158,518.26

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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.