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Finding the Third Proportional to 424,006 and 573,801

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Solution

The third proportional to 424,006 and 573,801 is: 776,516.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,006 : 573,801 = 573,801 : x
  2. Step 2: Convert to fraction form
    424,006/573,801 = 573,801/x
  3. Step 3: Cross multiply
    424,006x = 573,801 × 573,801
  4. Step 4: Simplify right side
    424,006x = 329,247,587,601
  5. Step 5: Solve for x
    x = 329,247,587,601/424,006
  6. Step 6: Final answer
    x = 776,516.34

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.