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Finding the Third Proportional to 504,600 and 840,957

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Solution

The third proportional to 504,600 and 840,957 is: 1,401,523.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,600 : 840,957 = 840,957 : x
  2. Step 2: Convert to fraction form
    504,600/840,957 = 840,957/x
  3. Step 3: Cross multiply
    504,600x = 840,957 × 840,957
  4. Step 4: Simplify right side
    504,600x = 707,208,675,849
  5. Step 5: Solve for x
    x = 707,208,675,849/504,600
  6. Step 6: Final answer
    x = 1,401,523.34

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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.