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Finding the Third Proportional to 406,107 and 595,305

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Solution

The third proportional to 406,107 and 595,305 is: 872,646.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,107 : 595,305 = 595,305 : x
  2. Step 2: Convert to fraction form
    406,107/595,305 = 595,305/x
  3. Step 3: Cross multiply
    406,107x = 595,305 × 595,305
  4. Step 4: Simplify right side
    406,107x = 354,388,043,025
  5. Step 5: Solve for x
    x = 354,388,043,025/406,107
  6. Step 6: Final answer
    x = 872,646.97

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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.