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Finding the Third Proportional to 362,896 and 516,120

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Solution

The third proportional to 362,896 and 516,120 is: 734,039.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,896 : 516,120 = 516,120 : x
  2. Step 2: Convert to fraction form
    362,896/516,120 = 516,120/x
  3. Step 3: Cross multiply
    362,896x = 516,120 × 516,120
  4. Step 4: Simplify right side
    362,896x = 266,379,854,400
  5. Step 5: Solve for x
    x = 266,379,854,400/362,896
  6. Step 6: Final answer
    x = 734,039.10

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.