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Finding the Third Proportional to 370,848 and 809,376

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Solution

The third proportional to 370,848 and 809,376 is: 1,766,463.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,848 : 809,376 = 809,376 : x
  2. Step 2: Convert to fraction form
    370,848/809,376 = 809,376/x
  3. Step 3: Cross multiply
    370,848x = 809,376 × 809,376
  4. Step 4: Simplify right side
    370,848x = 655,089,509,376
  5. Step 5: Solve for x
    x = 655,089,509,376/370,848
  6. Step 6: Final answer
    x = 1,766,463.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.