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Finding the Third Proportional to 186,957 and 407,752

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Solution

The third proportional to 186,957 and 407,752 is: 889,304.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,957 : 407,752 = 407,752 : x
  2. Step 2: Convert to fraction form
    186,957/407,752 = 407,752/x
  3. Step 3: Cross multiply
    186,957x = 407,752 × 407,752
  4. Step 4: Simplify right side
    186,957x = 166,261,693,504
  5. Step 5: Solve for x
    x = 166,261,693,504/186,957
  6. Step 6: Final answer
    x = 889,304.46

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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.