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Finding the Third Proportional to 465,313.50 and 746,562

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Solution

The third proportional to 465,313.50 and 746,562 is: 1,197,804.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,313.50 : 746,562 = 746,562 : x
  2. Step 2: Convert to fraction form
    465,313.50/746,562 = 746,562/x
  3. Step 3: Cross multiply
    465,313.50x = 746,562 × 746,562
  4. Step 4: Simplify right side
    465,313.50x = 557,354,819,844
  5. Step 5: Solve for x
    x = 557,354,819,844/465,313.50
  6. Step 6: Final answer
    x = 1,197,804.96

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.