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Finding the Third Proportional to 366,028 and 790,376

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Solution

The third proportional to 366,028 and 790,376 is: 1,706,684.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,028 : 790,376 = 790,376 : x
  2. Step 2: Convert to fraction form
    366,028/790,376 = 790,376/x
  3. Step 3: Cross multiply
    366,028x = 790,376 × 790,376
  4. Step 4: Simplify right side
    366,028x = 624,694,221,376
  5. Step 5: Solve for x
    x = 624,694,221,376/366,028
  6. Step 6: Final answer
    x = 1,706,684.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.