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Finding the Third Proportional to 186,887 and 438,747

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Solution

The third proportional to 186,887 and 438,747 is: 1,030,028.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,887 : 438,747 = 438,747 : x
  2. Step 2: Convert to fraction form
    186,887/438,747 = 438,747/x
  3. Step 3: Cross multiply
    186,887x = 438,747 × 438,747
  4. Step 4: Simplify right side
    186,887x = 192,498,930,009
  5. Step 5: Solve for x
    x = 192,498,930,009/186,887
  6. Step 6: Final answer
    x = 1,030,028.47

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.