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Finding the Third Proportional to 362,361 and 598,894.50

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Solution

The third proportional to 362,361 and 598,894.50 is: 989,826.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,361 : 598,894.50 = 598,894.50 : x
  2. Step 2: Convert to fraction form
    362,361/598,894.50 = 598,894.50/x
  3. Step 3: Cross multiply
    362,361x = 598,894.50 × 598,894.50
  4. Step 4: Simplify right side
    362,361x = 358,674,622,130.25
  5. Step 5: Solve for x
    x = 358,674,622,130.25/362,361
  6. Step 6: Final answer
    x = 989,826.78

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.