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Finding the Third Proportional to 413,436 and 603,752

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Solution

The third proportional to 413,436 and 603,752 is: 881,675.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,436 : 603,752 = 603,752 : x
  2. Step 2: Convert to fraction form
    413,436/603,752 = 603,752/x
  3. Step 3: Cross multiply
    413,436x = 603,752 × 603,752
  4. Step 4: Simplify right side
    413,436x = 364,516,477,504
  5. Step 5: Solve for x
    x = 364,516,477,504/413,436
  6. Step 6: Final answer
    x = 881,675.71

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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.