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Finding the Third Proportional to 598,887.84 and 905,477.48

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Solution

The third proportional to 598,887.84 and 905,477.48 is: 1,369,020.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,887.84 : 905,477.48 = 905,477.48 : x
  2. Step 2: Convert to fraction form
    598,887.84/905,477.48 = 905,477.48/x
  3. Step 3: Cross multiply
    598,887.84x = 905,477.48 × 905,477.48
  4. Step 4: Simplify right side
    598,887.84x = 819,889,474,710.08
  5. Step 5: Solve for x
    x = 819,889,474,710.08/598,887.84
  6. Step 6: Final answer
    x = 1,369,020.06

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.