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Finding the Third Proportional to 370,524 and 807,318

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Solution

The third proportional to 370,524 and 807,318 is: 1,759,028.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,524 : 807,318 = 807,318 : x
  2. Step 2: Convert to fraction form
    370,524/807,318 = 807,318/x
  3. Step 3: Cross multiply
    370,524x = 807,318 × 807,318
  4. Step 4: Simplify right side
    370,524x = 651,762,353,124
  5. Step 5: Solve for x
    x = 651,762,353,124/370,524
  6. Step 6: Final answer
    x = 1,759,028.71

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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.