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Finding the Third Proportional to 406,122 and 595,320

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Solution

The third proportional to 406,122 and 595,320 is: 872,658.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,122 : 595,320 = 595,320 : x
  2. Step 2: Convert to fraction form
    406,122/595,320 = 595,320/x
  3. Step 3: Cross multiply
    406,122x = 595,320 × 595,320
  4. Step 4: Simplify right side
    406,122x = 354,405,902,400
  5. Step 5: Solve for x
    x = 354,405,902,400/406,122
  6. Step 6: Final answer
    x = 872,658.71

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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.