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Finding the Third Proportional to 484,230 and 800,265

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Solution

The third proportional to 484,230 and 800,265 is: 1,322,561.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,230 : 800,265 = 800,265 : x
  2. Step 2: Convert to fraction form
    484,230/800,265 = 800,265/x
  3. Step 3: Cross multiply
    484,230x = 800,265 × 800,265
  4. Step 4: Simplify right side
    484,230x = 640,424,070,225
  5. Step 5: Solve for x
    x = 640,424,070,225/484,230
  6. Step 6: Final answer
    x = 1,322,561.74

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.