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Finding the Third Proportional to 369,638 and 805,616

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Solution

The third proportional to 369,638 and 805,616 is: 1,755,818.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,638 : 805,616 = 805,616 : x
  2. Step 2: Convert to fraction form
    369,638/805,616 = 805,616/x
  3. Step 3: Cross multiply
    369,638x = 805,616 × 805,616
  4. Step 4: Simplify right side
    369,638x = 649,017,139,456
  5. Step 5: Solve for x
    x = 649,017,139,456/369,638
  6. Step 6: Final answer
    x = 1,755,818.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.