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Finding the Third Proportional to 400,164 and 610,408

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Solution

The third proportional to 400,164 and 610,408 is: 931,113.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,164 : 610,408 = 610,408 : x
  2. Step 2: Convert to fraction form
    400,164/610,408 = 610,408/x
  3. Step 3: Cross multiply
    400,164x = 610,408 × 610,408
  4. Step 4: Simplify right side
    400,164x = 372,597,926,464
  5. Step 5: Solve for x
    x = 372,597,926,464/400,164
  6. Step 6: Final answer
    x = 931,113.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.