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Finding the Third Proportional to 360,704 and 783,616

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Solution

The third proportional to 360,704 and 783,616 is: 1,702,376.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,704 : 783,616 = 783,616 : x
  2. Step 2: Convert to fraction form
    360,704/783,616 = 783,616/x
  3. Step 3: Cross multiply
    360,704x = 783,616 × 783,616
  4. Step 4: Simplify right side
    360,704x = 614,054,035,456
  5. Step 5: Solve for x
    x = 614,054,035,456/360,704
  6. Step 6: Final answer
    x = 1,702,376.56

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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.