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Finding the Third Proportional to 415,216.13 and 620,655.75

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Solution

The third proportional to 415,216.13 and 620,655.75 is: 927,742.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,216.13 : 620,655.75 = 620,655.75 : x
  2. Step 2: Convert to fraction form
    415,216.13/620,655.75 = 620,655.75/x
  3. Step 3: Cross multiply
    415,216.13x = 620,655.75 × 620,655.75
  4. Step 4: Simplify right side
    415,216.13x = 385,213,560,008.06
  5. Step 5: Solve for x
    x = 385,213,560,008.06/415,216.13
  6. Step 6: Final answer
    x = 927,742.29

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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.