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Finding the Third Proportional to 339,985 and 500,082

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Solution

The third proportional to 339,985 and 500,082 is: 735,567.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,985 : 500,082 = 500,082 : x
  2. Step 2: Convert to fraction form
    339,985/500,082 = 500,082/x
  3. Step 3: Cross multiply
    339,985x = 500,082 × 500,082
  4. Step 4: Simplify right side
    339,985x = 250,082,006,724
  5. Step 5: Solve for x
    x = 250,082,006,724/339,985
  6. Step 6: Final answer
    x = 735,567.77

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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.