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Finding the Third Proportional to 430,037.86 and 683,194.50

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Solution

The third proportional to 430,037.86 and 683,194.50 is: 1,085,380.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,037.86 : 683,194.50 = 683,194.50 : x
  2. Step 2: Convert to fraction form
    430,037.86/683,194.50 = 683,194.50/x
  3. Step 3: Cross multiply
    430,037.86x = 683,194.50 × 683,194.50
  4. Step 4: Simplify right side
    430,037.86x = 466,754,724,830.25
  5. Step 5: Solve for x
    x = 466,754,724,830.25/430,037.86
  6. Step 6: Final answer
    x = 1,085,380.54

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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.