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Finding the Third Proportional to 386,217 and 577,131.75

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Solution

The third proportional to 386,217 and 577,131.75 is: 862,419.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,217 : 577,131.75 = 577,131.75 : x
  2. Step 2: Convert to fraction form
    386,217/577,131.75 = 577,131.75/x
  3. Step 3: Cross multiply
    386,217x = 577,131.75 × 577,131.75
  4. Step 4: Simplify right side
    386,217x = 333,081,056,858.06
  5. Step 5: Solve for x
    x = 333,081,056,858.06/386,217
  6. Step 6: Final answer
    x = 862,419.46

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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.