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Finding the Third Proportional to 406,482 and 603,827

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Solution

The third proportional to 406,482 and 603,827 is: 896,982.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,482 : 603,827 = 603,827 : x
  2. Step 2: Convert to fraction form
    406,482/603,827 = 603,827/x
  3. Step 3: Cross multiply
    406,482x = 603,827 × 603,827
  4. Step 4: Simplify right side
    406,482x = 364,607,045,929
  5. Step 5: Solve for x
    x = 364,607,045,929/406,482
  6. Step 6: Final answer
    x = 896,982.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.