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Finding the Third Proportional to 236,378 and 492,700

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Solution

The third proportional to 236,378 and 492,700 is: 1,026,970.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,378 : 492,700 = 492,700 : x
  2. Step 2: Convert to fraction form
    236,378/492,700 = 492,700/x
  3. Step 3: Cross multiply
    236,378x = 492,700 × 492,700
  4. Step 4: Simplify right side
    236,378x = 242,753,290,000
  5. Step 5: Solve for x
    x = 242,753,290,000/236,378
  6. Step 6: Final answer
    x = 1,026,970.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.