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Finding the Third Proportional to 188,409 and 409,541

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Solution

The third proportional to 188,409 and 409,541 is: 890,211.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,409 : 409,541 = 409,541 : x
  2. Step 2: Convert to fraction form
    188,409/409,541 = 409,541/x
  3. Step 3: Cross multiply
    188,409x = 409,541 × 409,541
  4. Step 4: Simplify right side
    188,409x = 167,723,830,681
  5. Step 5: Solve for x
    x = 167,723,830,681/188,409
  6. Step 6: Final answer
    x = 890,211.35

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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.