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Finding the Third Proportional to 428,364 and 601,719

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Solution

The third proportional to 428,364 and 601,719 is: 845,229.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,364 : 601,719 = 601,719 : x
  2. Step 2: Convert to fraction form
    428,364/601,719 = 601,719/x
  3. Step 3: Cross multiply
    428,364x = 601,719 × 601,719
  4. Step 4: Simplify right side
    428,364x = 362,065,754,961
  5. Step 5: Solve for x
    x = 362,065,754,961/428,364
  6. Step 6: Final answer
    x = 845,229.19

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.