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Finding the Third Proportional to 180,428 and 408,087

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Solution

The third proportional to 180,428 and 408,087 is: 922,999.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,428 : 408,087 = 408,087 : x
  2. Step 2: Convert to fraction form
    180,428/408,087 = 408,087/x
  3. Step 3: Cross multiply
    180,428x = 408,087 × 408,087
  4. Step 4: Simplify right side
    180,428x = 166,534,999,569
  5. Step 5: Solve for x
    x = 166,534,999,569/180,428
  6. Step 6: Final answer
    x = 922,999.75

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.