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Finding the Third Proportional to 770,476.50 and 1,197,680

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Solution

The third proportional to 770,476.50 and 1,197,680 is: 1,861,753.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,476.50 : 1,197,680 = 1,197,680 : x
  2. Step 2: Convert to fraction form
    770,476.50/1,197,680 = 1,197,680/x
  3. Step 3: Cross multiply
    770,476.50x = 1,197,680 × 1,197,680
  4. Step 4: Simplify right side
    770,476.50x = 1,434,437,382,400
  5. Step 5: Solve for x
    x = 1,434,437,382,400/770,476.50
  6. Step 6: Final answer
    x = 1,861,753.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.