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Finding the Third Proportional to 185,796 and 407,028

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Solution

The third proportional to 185,796 and 407,028 is: 891,686.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,796 : 407,028 = 407,028 : x
  2. Step 2: Convert to fraction form
    185,796/407,028 = 407,028/x
  3. Step 3: Cross multiply
    185,796x = 407,028 × 407,028
  4. Step 4: Simplify right side
    185,796x = 165,671,792,784
  5. Step 5: Solve for x
    x = 165,671,792,784/185,796
  6. Step 6: Final answer
    x = 891,686.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.