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Finding the Third Proportional to 406,411 and 603,733

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Solution

The third proportional to 406,411 and 603,733 is: 896,859.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,411 : 603,733 = 603,733 : x
  2. Step 2: Convert to fraction form
    406,411/603,733 = 603,733/x
  3. Step 3: Cross multiply
    406,411x = 603,733 × 603,733
  4. Step 4: Simplify right side
    406,411x = 364,493,535,289
  5. Step 5: Solve for x
    x = 364,493,535,289/406,411
  6. Step 6: Final answer
    x = 896,859.42

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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.