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Finding the Third Proportional to 339,959 and 500,097

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Solution

The third proportional to 339,959 and 500,097 is: 735,668.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,959 : 500,097 = 500,097 : x
  2. Step 2: Convert to fraction form
    339,959/500,097 = 500,097/x
  3. Step 3: Cross multiply
    339,959x = 500,097 × 500,097
  4. Step 4: Simplify right side
    339,959x = 250,097,009,409
  5. Step 5: Solve for x
    x = 250,097,009,409/339,959
  6. Step 6: Final answer
    x = 735,668.15

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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.