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Finding the Third Proportional to 376,382 and 828,580

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Solution

The third proportional to 376,382 and 828,580 is: 1,824,063.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,382 : 828,580 = 828,580 : x
  2. Step 2: Convert to fraction form
    376,382/828,580 = 828,580/x
  3. Step 3: Cross multiply
    376,382x = 828,580 × 828,580
  4. Step 4: Simplify right side
    376,382x = 686,544,816,400
  5. Step 5: Solve for x
    x = 686,544,816,400/376,382
  6. Step 6: Final answer
    x = 1,824,063.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.