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Finding the Third Proportional to 188,417 and 409,557

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Solution

The third proportional to 188,417 and 409,557 is: 890,243.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,417 : 409,557 = 409,557 : x
  2. Step 2: Convert to fraction form
    188,417/409,557 = 409,557/x
  3. Step 3: Cross multiply
    188,417x = 409,557 × 409,557
  4. Step 4: Simplify right side
    188,417x = 167,736,936,249
  5. Step 5: Solve for x
    x = 167,736,936,249/188,417
  6. Step 6: Final answer
    x = 890,243.11

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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.