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Finding the Third Proportional to 382,044 and 517,014

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Solution

The third proportional to 382,044 and 517,014 is: 699,666.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,044 : 517,014 = 517,014 : x
  2. Step 2: Convert to fraction form
    382,044/517,014 = 517,014/x
  3. Step 3: Cross multiply
    382,044x = 517,014 × 517,014
  4. Step 4: Simplify right side
    382,044x = 267,303,476,196
  5. Step 5: Solve for x
    x = 267,303,476,196/382,044
  6. Step 6: Final answer
    x = 699,666.73

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.