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Finding the Third Proportional to 504,602 and 840,960

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Solution

The third proportional to 504,602 and 840,960 is: 1,401,527.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,602 : 840,960 = 840,960 : x
  2. Step 2: Convert to fraction form
    504,602/840,960 = 840,960/x
  3. Step 3: Cross multiply
    504,602x = 840,960 × 840,960
  4. Step 4: Simplify right side
    504,602x = 707,213,721,600
  5. Step 5: Solve for x
    x = 707,213,721,600/504,602
  6. Step 6: Final answer
    x = 1,401,527.78

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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.