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Finding the Third Proportional to 186,958 and 405,461

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Solution

The third proportional to 186,958 and 405,461 is: 879,334.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,958 : 405,461 = 405,461 : x
  2. Step 2: Convert to fraction form
    186,958/405,461 = 405,461/x
  3. Step 3: Cross multiply
    186,958x = 405,461 × 405,461
  4. Step 4: Simplify right side
    186,958x = 164,398,622,521
  5. Step 5: Solve for x
    x = 164,398,622,521/186,958
  6. Step 6: Final answer
    x = 879,334.52

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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.