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Finding the Third Proportional to 362,858.63 and 576,465.75

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Solution

The third proportional to 362,858.63 and 576,465.75 is: 915,818.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,858.63 : 576,465.75 = 576,465.75 : x
  2. Step 2: Convert to fraction form
    362,858.63/576,465.75 = 576,465.75/x
  3. Step 3: Cross multiply
    362,858.63x = 576,465.75 × 576,465.75
  4. Step 4: Simplify right side
    362,858.63x = 332,312,760,923.06
  5. Step 5: Solve for x
    x = 332,312,760,923.06/362,858.63
  6. Step 6: Final answer
    x = 915,818.83

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