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Finding the Third Proportional to 409,520 and 620,010

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Solution

The third proportional to 409,520 and 620,010 is: 938,690.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,520 : 620,010 = 620,010 : x
  2. Step 2: Convert to fraction form
    409,520/620,010 = 620,010/x
  3. Step 3: Cross multiply
    409,520x = 620,010 × 620,010
  4. Step 4: Simplify right side
    409,520x = 384,412,400,100
  5. Step 5: Solve for x
    x = 384,412,400,100/409,520
  6. Step 6: Final answer
    x = 938,690.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.