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Finding the Third Proportional to 288,320.50 and 430,094

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Solution

The third proportional to 288,320.50 and 430,094 is: 641,580.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,320.50 : 430,094 = 430,094 : x
  2. Step 2: Convert to fraction form
    288,320.50/430,094 = 430,094/x
  3. Step 3: Cross multiply
    288,320.50x = 430,094 × 430,094
  4. Step 4: Simplify right side
    288,320.50x = 184,980,848,836
  5. Step 5: Solve for x
    x = 184,980,848,836/288,320.50
  6. Step 6: Final answer
    x = 641,580.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.