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Finding the Third Proportional to 424,472.06 and 603,498.09

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Solution

The third proportional to 424,472.06 and 603,498.09 is: 858,030.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,472.06 : 603,498.09 = 603,498.09 : x
  2. Step 2: Convert to fraction form
    424,472.06/603,498.09 = 603,498.09/x
  3. Step 3: Cross multiply
    424,472.06x = 603,498.09 × 603,498.09
  4. Step 4: Simplify right side
    424,472.06x = 364,209,949,159.88
  5. Step 5: Solve for x
    x = 364,209,949,159.88/424,472.06
  6. Step 6: Final answer
    x = 858,030.44

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.