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Finding the Third Proportional to 406,096 and 595,288

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Solution

The third proportional to 406,096 and 595,288 is: 872,620.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,096 : 595,288 = 595,288 : x
  2. Step 2: Convert to fraction form
    406,096/595,288 = 595,288/x
  3. Step 3: Cross multiply
    406,096x = 595,288 × 595,288
  4. Step 4: Simplify right side
    406,096x = 354,367,802,944
  5. Step 5: Solve for x
    x = 354,367,802,944/406,096
  6. Step 6: Final answer
    x = 872,620.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.