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Finding the Third Proportional to 413,420 and 620,130

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Solution

The third proportional to 413,420 and 620,130 is: 930,195

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,420 : 620,130 = 620,130 : x
  2. Step 2: Convert to fraction form
    413,420/620,130 = 620,130/x
  3. Step 3: Cross multiply
    413,420x = 620,130 × 620,130
  4. Step 4: Simplify right side
    413,420x = 384,561,216,900
  5. Step 5: Solve for x
    x = 384,561,216,900/413,420
  6. Step 6: Final answer
    x = 930,195

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.