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Finding the Third Proportional to 492,143.63 and 703,765.13

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Solution

The third proportional to 492,143.63 and 703,765.13 is: 1,006,383.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,143.63 : 703,765.13 = 703,765.13 : x
  2. Step 2: Convert to fraction form
    492,143.63/703,765.13 = 703,765.13/x
  3. Step 3: Cross multiply
    492,143.63x = 703,765.13 × 703,765.13
  4. Step 4: Simplify right side
    492,143.63x = 495,285,351,166.27
  5. Step 5: Solve for x
    x = 495,285,351,166.27/492,143.63
  6. Step 6: Final answer
    x = 1,006,383.76

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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.