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Finding the Third Proportional to 492,130.69 and 703,748.25

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Solution

The third proportional to 492,130.69 and 703,748.25 is: 1,006,361.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,130.69 : 703,748.25 = 703,748.25 : x
  2. Step 2: Convert to fraction form
    492,130.69/703,748.25 = 703,748.25/x
  3. Step 3: Cross multiply
    492,130.69x = 703,748.25 × 703,748.25
  4. Step 4: Simplify right side
    492,130.69x = 495,261,599,378.06
  5. Step 5: Solve for x
    x = 495,261,599,378.06/492,130.69
  6. Step 6: Final answer
    x = 1,006,361.95

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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.