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Finding the Third Proportional to 492,160.50 and 703,788.75

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Solution

The third proportional to 492,160.50 and 703,788.75 is: 1,006,416.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,160.50 : 703,788.75 = 703,788.75 : x
  2. Step 2: Convert to fraction form
    492,160.50/703,788.75 = 703,788.75/x
  3. Step 3: Cross multiply
    492,160.50x = 703,788.75 × 703,788.75
  4. Step 4: Simplify right side
    492,160.50x = 495,318,604,626.56
  5. Step 5: Solve for x
    x = 495,318,604,626.56/492,160.50
  6. Step 6: Final answer
    x = 1,006,416.82

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Why These Related Problems?

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