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Finding the Third Proportional to 406,524 and 603,886

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Solution

The third proportional to 406,524 and 603,886 is: 897,064.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,524 : 603,886 = 603,886 : x
  2. Step 2: Convert to fraction form
    406,524/603,886 = 603,886/x
  3. Step 3: Cross multiply
    406,524x = 603,886 × 603,886
  4. Step 4: Simplify right side
    406,524x = 364,678,300,996
  5. Step 5: Solve for x
    x = 364,678,300,996/406,524
  6. Step 6: Final answer
    x = 897,064.63

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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.