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Finding the Third Proportional to 406,097 and 595,293

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Solution

The third proportional to 406,097 and 595,293 is: 872,633.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,097 : 595,293 = 595,293 : x
  2. Step 2: Convert to fraction form
    406,097/595,293 = 595,293/x
  3. Step 3: Cross multiply
    406,097x = 595,293 × 595,293
  4. Step 4: Simplify right side
    406,097x = 354,373,755,849
  5. Step 5: Solve for x
    x = 354,373,755,849/406,097
  6. Step 6: Final answer
    x = 872,633.28

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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.