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Finding the Third Proportional to 430,573.50 and 943,227

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Solution

The third proportional to 430,573.50 and 943,227 is: 2,066,260.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,573.50 : 943,227 = 943,227 : x
  2. Step 2: Convert to fraction form
    430,573.50/943,227 = 943,227/x
  3. Step 3: Cross multiply
    430,573.50x = 943,227 × 943,227
  4. Step 4: Simplify right side
    430,573.50x = 889,677,173,529
  5. Step 5: Solve for x
    x = 889,677,173,529/430,573.50
  6. Step 6: Final answer
    x = 2,066,260.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.