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Finding the Third Proportional to 401,604 and 844,624.13

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Solution

The third proportional to 401,604 and 844,624.13 is: 1,776,351.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,604 : 844,624.13 = 844,624.13 : x
  2. Step 2: Convert to fraction form
    401,604/844,624.13 = 844,624.13/x
  3. Step 3: Cross multiply
    401,604x = 844,624.13 × 844,624.13
  4. Step 4: Simplify right side
    401,604x = 713,389,912,532.02
  5. Step 5: Solve for x
    x = 713,389,912,532.02/401,604
  6. Step 6: Final answer
    x = 1,776,351.61

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.