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Finding the Third Proportional to 295,429.50 and 430,227

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Solution

The third proportional to 295,429.50 and 430,227 is: 626,529.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,429.50 : 430,227 = 430,227 : x
  2. Step 2: Convert to fraction form
    295,429.50/430,227 = 430,227/x
  3. Step 3: Cross multiply
    295,429.50x = 430,227 × 430,227
  4. Step 4: Simplify right side
    295,429.50x = 185,095,271,529
  5. Step 5: Solve for x
    x = 185,095,271,529/295,429.50
  6. Step 6: Final answer
    x = 626,529.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.