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Finding the Third Proportional to 441,946.13 and 662,190.19

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Solution

The third proportional to 441,946.13 and 662,190.19 is: 992,192.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,946.13 : 662,190.19 = 662,190.19 : x
  2. Step 2: Convert to fraction form
    441,946.13/662,190.19 = 662,190.19/x
  3. Step 3: Cross multiply
    441,946.13x = 662,190.19 × 662,190.19
  4. Step 4: Simplify right side
    441,946.13x = 438,495,844,421.29
  5. Step 5: Solve for x
    x = 438,495,844,421.29/441,946.13
  6. Step 6: Final answer
    x = 992,192.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.