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Finding the Third Proportional to 236,475 and 484,000

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Solution

The third proportional to 236,475 and 484,000 is: 990,616.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,475 : 484,000 = 484,000 : x
  2. Step 2: Convert to fraction form
    236,475/484,000 = 484,000/x
  3. Step 3: Cross multiply
    236,475x = 484,000 × 484,000
  4. Step 4: Simplify right side
    236,475x = 234,256,000,000
  5. Step 5: Solve for x
    x = 234,256,000,000/236,475
  6. Step 6: Final answer
    x = 990,616.34

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.