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Finding the Third Proportional to 391,995 and 552,033

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Solution

The third proportional to 391,995 and 552,033 is: 777,408.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,995 : 552,033 = 552,033 : x
  2. Step 2: Convert to fraction form
    391,995/552,033 = 552,033/x
  3. Step 3: Cross multiply
    391,995x = 552,033 × 552,033
  4. Step 4: Simplify right side
    391,995x = 304,740,433,089
  5. Step 5: Solve for x
    x = 304,740,433,089/391,995
  6. Step 6: Final answer
    x = 777,408.98

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.