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Finding the Third Proportional to 339,000.75 and 460,405.13

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Solution

The third proportional to 339,000.75 and 460,405.13 is: 625,287.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,000.75 : 460,405.13 = 460,405.13 : x
  2. Step 2: Convert to fraction form
    339,000.75/460,405.13 = 460,405.13/x
  3. Step 3: Cross multiply
    339,000.75x = 460,405.13 × 460,405.13
  4. Step 4: Simplify right side
    339,000.75x = 211,972,879,126.27
  5. Step 5: Solve for x
    x = 211,972,879,126.27/339,000.75
  6. Step 6: Final answer
    x = 625,287.35

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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.