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Finding the Third Proportional to 186,854 and 438,669

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Solution

The third proportional to 186,854 and 438,669 is: 1,029,844.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,854 : 438,669 = 438,669 : x
  2. Step 2: Convert to fraction form
    186,854/438,669 = 438,669/x
  3. Step 3: Cross multiply
    186,854x = 438,669 × 438,669
  4. Step 4: Simplify right side
    186,854x = 192,430,491,561
  5. Step 5: Solve for x
    x = 192,430,491,561/186,854
  6. Step 6: Final answer
    x = 1,029,844.11

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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.