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Finding the Third Proportional to 339,005 and 460,407

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Solution

The third proportional to 339,005 and 460,407 is: 625,284.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,005 : 460,407 = 460,407 : x
  2. Step 2: Convert to fraction form
    339,005/460,407 = 460,407/x
  3. Step 3: Cross multiply
    339,005x = 460,407 × 460,407
  4. Step 4: Simplify right side
    339,005x = 211,974,605,649
  5. Step 5: Solve for x
    x = 211,974,605,649/339,005
  6. Step 6: Final answer
    x = 625,284.60

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.