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Finding the Third Proportional to 430,059.38 and 683,226.56

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Solution

The third proportional to 430,059.38 and 683,226.56 is: 1,085,428.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,059.38 : 683,226.56 = 683,226.56 : x
  2. Step 2: Convert to fraction form
    430,059.38/683,226.56 = 683,226.56/x
  3. Step 3: Cross multiply
    430,059.38x = 683,226.56 × 683,226.56
  4. Step 4: Simplify right side
    430,059.38x = 466,798,535,705.57
  5. Step 5: Solve for x
    x = 466,798,535,705.57/430,059.38
  6. Step 6: Final answer
    x = 1,085,428.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.