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Finding the Third Proportional to 360,781 and 783,041

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Solution

The third proportional to 360,781 and 783,041 is: 1,699,516.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,781 : 783,041 = 783,041 : x
  2. Step 2: Convert to fraction form
    360,781/783,041 = 783,041/x
  3. Step 3: Cross multiply
    360,781x = 783,041 × 783,041
  4. Step 4: Simplify right side
    360,781x = 613,153,207,681
  5. Step 5: Solve for x
    x = 613,153,207,681/360,781
  6. Step 6: Final answer
    x = 1,699,516.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.