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Finding the Third Proportional to 186,989 and 411,361

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Solution

The third proportional to 186,989 and 411,361 is: 904,961.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,989 : 411,361 = 411,361 : x
  2. Step 2: Convert to fraction form
    186,989/411,361 = 411,361/x
  3. Step 3: Cross multiply
    186,989x = 411,361 × 411,361
  4. Step 4: Simplify right side
    186,989x = 169,217,872,321
  5. Step 5: Solve for x
    x = 169,217,872,321/186,989
  6. Step 6: Final answer
    x = 904,961.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.