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Finding the Third Proportional to 666,265.50 and 949,563

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Solution

The third proportional to 666,265.50 and 949,563 is: 1,353,319.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,265.50 : 949,563 = 949,563 : x
  2. Step 2: Convert to fraction form
    666,265.50/949,563 = 949,563/x
  3. Step 3: Cross multiply
    666,265.50x = 949,563 × 949,563
  4. Step 4: Simplify right side
    666,265.50x = 901,669,890,969
  5. Step 5: Solve for x
    x = 901,669,890,969/666,265.50
  6. Step 6: Final answer
    x = 1,353,319.20

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.