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Finding the Third Proportional to 186,460 and 406,028

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Solution

The third proportional to 186,460 and 406,028 is: 884,150.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,460 : 406,028 = 406,028 : x
  2. Step 2: Convert to fraction form
    186,460/406,028 = 406,028/x
  3. Step 3: Cross multiply
    186,460x = 406,028 × 406,028
  4. Step 4: Simplify right side
    186,460x = 164,858,736,784
  5. Step 5: Solve for x
    x = 164,858,736,784/186,460
  6. Step 6: Final answer
    x = 884,150.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.