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Finding the Third Proportional to 380,059.59 and 834,869.53

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Solution

The third proportional to 380,059.59 and 834,869.53 is: 1,833,941.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,059.59 : 834,869.53 = 834,869.53 : x
  2. Step 2: Convert to fraction form
    380,059.59/834,869.53 = 834,869.53/x
  3. Step 3: Cross multiply
    380,059.59x = 834,869.53 × 834,869.53
  4. Step 4: Simplify right side
    380,059.59x = 697,007,134,209.60
  5. Step 5: Solve for x
    x = 697,007,134,209.60/380,059.59
  6. Step 6: Final answer
    x = 1,833,941.69

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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.