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Finding the Third Proportional to 186,964 and 405,472

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Solution

The third proportional to 186,964 and 405,472 is: 879,354.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,964 : 405,472 = 405,472 : x
  2. Step 2: Convert to fraction form
    186,964/405,472 = 405,472/x
  3. Step 3: Cross multiply
    186,964x = 405,472 × 405,472
  4. Step 4: Simplify right side
    186,964x = 164,407,542,784
  5. Step 5: Solve for x
    x = 164,407,542,784/186,964
  6. Step 6: Final answer
    x = 879,354.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.