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Finding the Third Proportional to 301,296.38 and 466,323.75

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Solution

The third proportional to 301,296.38 and 466,323.75 is: 721,740.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,296.38 : 466,323.75 = 466,323.75 : x
  2. Step 2: Convert to fraction form
    301,296.38/466,323.75 = 466,323.75/x
  3. Step 3: Cross multiply
    301,296.38x = 466,323.75 × 466,323.75
  4. Step 4: Simplify right side
    301,296.38x = 217,457,839,814.06
  5. Step 5: Solve for x
    x = 217,457,839,814.06/301,296.38
  6. Step 6: Final answer
    x = 721,740.64

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.