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Finding the Third Proportional to 400,167 and 610,413

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Solution

The third proportional to 400,167 and 610,413 is: 931,121.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,167 : 610,413 = 610,413 : x
  2. Step 2: Convert to fraction form
    400,167/610,413 = 610,413/x
  3. Step 3: Cross multiply
    400,167x = 610,413 × 610,413
  4. Step 4: Simplify right side
    400,167x = 372,604,030,569
  5. Step 5: Solve for x
    x = 372,604,030,569/400,167
  6. Step 6: Final answer
    x = 931,121.33

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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.