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Finding the Third Proportional to 428,597.25 and 916,243.50

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Solution

The third proportional to 428,597.25 and 916,243.50 is: 1,958,720.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,597.25 : 916,243.50 = 916,243.50 : x
  2. Step 2: Convert to fraction form
    428,597.25/916,243.50 = 916,243.50/x
  3. Step 3: Cross multiply
    428,597.25x = 916,243.50 × 916,243.50
  4. Step 4: Simplify right side
    428,597.25x = 839,502,151,292.25
  5. Step 5: Solve for x
    x = 839,502,151,292.25/428,597.25
  6. Step 6: Final answer
    x = 1,958,720.34

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.