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Finding the Third Proportional to 413,676 and 620,514

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Solution

The third proportional to 413,676 and 620,514 is: 930,771

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,676 : 620,514 = 620,514 : x
  2. Step 2: Convert to fraction form
    413,676/620,514 = 620,514/x
  3. Step 3: Cross multiply
    413,676x = 620,514 × 620,514
  4. Step 4: Simplify right side
    413,676x = 385,037,624,196
  5. Step 5: Solve for x
    x = 385,037,624,196/413,676
  6. Step 6: Final answer
    x = 930,771

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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.