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Finding the Third Proportional to 288,460 and 430,296

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Solution

The third proportional to 288,460 and 430,296 is: 641,872.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,460 : 430,296 = 430,296 : x
  2. Step 2: Convert to fraction form
    288,460/430,296 = 430,296/x
  3. Step 3: Cross multiply
    288,460x = 430,296 × 430,296
  4. Step 4: Simplify right side
    288,460x = 185,154,647,616
  5. Step 5: Solve for x
    x = 185,154,647,616/288,460
  6. Step 6: Final answer
    x = 641,872.87

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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.