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Finding the Third Proportional to 361,457.50 and 538,239.75

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Solution

The third proportional to 361,457.50 and 538,239.75 is: 801,482.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,457.50 : 538,239.75 = 538,239.75 : x
  2. Step 2: Convert to fraction form
    361,457.50/538,239.75 = 538,239.75/x
  3. Step 3: Cross multiply
    361,457.50x = 538,239.75 × 538,239.75
  4. Step 4: Simplify right side
    361,457.50x = 289,702,028,480.06
  5. Step 5: Solve for x
    x = 289,702,028,480.06/361,457.50
  6. Step 6: Final answer
    x = 801,482.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.