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Finding the Third Proportional to 362,880 and 576,496.13

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Solution

The third proportional to 362,880 and 576,496.13 is: 915,861.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,880 : 576,496.13 = 576,496.13 : x
  2. Step 2: Convert to fraction form
    362,880/576,496.13 = 576,496.13/x
  3. Step 3: Cross multiply
    362,880x = 576,496.13 × 576,496.13
  4. Step 4: Simplify right side
    362,880x = 332,347,782,140.02
  5. Step 5: Solve for x
    x = 332,347,782,140.02/362,880
  6. Step 6: Final answer
    x = 915,861.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.