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Finding the Third Proportional to 364,854 and 783,651

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Solution

The third proportional to 364,854 and 783,651 is: 1,683,163.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,854 : 783,651 = 783,651 : x
  2. Step 2: Convert to fraction form
    364,854/783,651 = 783,651/x
  3. Step 3: Cross multiply
    364,854x = 783,651 × 783,651
  4. Step 4: Simplify right side
    364,854x = 614,108,889,801
  5. Step 5: Solve for x
    x = 614,108,889,801/364,854
  6. Step 6: Final answer
    x = 1,683,163.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.