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Finding the Third Proportional to 504,568 and 840,914

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Solution

The third proportional to 504,568 and 840,914 is: 1,401,468.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,568 : 840,914 = 840,914 : x
  2. Step 2: Convert to fraction form
    504,568/840,914 = 840,914/x
  3. Step 3: Cross multiply
    504,568x = 840,914 × 840,914
  4. Step 4: Simplify right side
    504,568x = 707,136,355,396
  5. Step 5: Solve for x
    x = 707,136,355,396/504,568
  6. Step 6: Final answer
    x = 1,401,468.89

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.