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Finding the Third Proportional to 190,470 and 409,605

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Solution

The third proportional to 190,470 and 409,605 is: 880,853.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,470 : 409,605 = 409,605 : x
  2. Step 2: Convert to fraction form
    190,470/409,605 = 409,605/x
  3. Step 3: Cross multiply
    190,470x = 409,605 × 409,605
  4. Step 4: Simplify right side
    190,470x = 167,776,256,025
  5. Step 5: Solve for x
    x = 167,776,256,025/190,470
  6. Step 6: Final answer
    x = 880,853.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.