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Finding the Third Proportional to 476,602 and 703,812

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Solution

The third proportional to 476,602 and 703,812 is: 1,039,339.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,602 : 703,812 = 703,812 : x
  2. Step 2: Convert to fraction form
    476,602/703,812 = 703,812/x
  3. Step 3: Cross multiply
    476,602x = 703,812 × 703,812
  4. Step 4: Simplify right side
    476,602x = 495,351,331,344
  5. Step 5: Solve for x
    x = 495,351,331,344/476,602
  6. Step 6: Final answer
    x = 1,039,339.60

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.