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Finding the Third Proportional to 366,952 and 808,400

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Solution

The third proportional to 366,952 and 808,400 is: 1,780,915.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,952 : 808,400 = 808,400 : x
  2. Step 2: Convert to fraction form
    366,952/808,400 = 808,400/x
  3. Step 3: Cross multiply
    366,952x = 808,400 × 808,400
  4. Step 4: Simplify right side
    366,952x = 653,510,560,000
  5. Step 5: Solve for x
    x = 653,510,560,000/366,952
  6. Step 6: Final answer
    x = 1,780,915.65

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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.