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Finding the Third Proportional to 504,567 and 840,913

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Solution

The third proportional to 504,567 and 840,913 is: 1,401,468.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,567 : 840,913 = 840,913 : x
  2. Step 2: Convert to fraction form
    504,567/840,913 = 840,913/x
  3. Step 3: Cross multiply
    504,567x = 840,913 × 840,913
  4. Step 4: Simplify right side
    504,567x = 707,134,673,569
  5. Step 5: Solve for x
    x = 707,134,673,569/504,567
  6. Step 6: Final answer
    x = 1,401,468.34

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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.