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Finding the Third Proportional to 362,880 and 758,808

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Solution

The third proportional to 362,880 and 758,808 is: 1,586,721.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,880 : 758,808 = 758,808 : x
  2. Step 2: Convert to fraction form
    362,880/758,808 = 758,808/x
  3. Step 3: Cross multiply
    362,880x = 758,808 × 758,808
  4. Step 4: Simplify right side
    362,880x = 575,789,580,864
  5. Step 5: Solve for x
    x = 575,789,580,864/362,880
  6. Step 6: Final answer
    x = 1,586,721.73

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.