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Finding the Third Proportional to 388,352 and 603,256

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Solution

The third proportional to 388,352 and 603,256 is: 937,082.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,352 : 603,256 = 603,256 : x
  2. Step 2: Convert to fraction form
    388,352/603,256 = 603,256/x
  3. Step 3: Cross multiply
    388,352x = 603,256 × 603,256
  4. Step 4: Simplify right side
    388,352x = 363,917,801,536
  5. Step 5: Solve for x
    x = 363,917,801,536/388,352
  6. Step 6: Final answer
    x = 937,082.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.