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Finding the Third Proportional to 594,024 and 787,680

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Solution

The third proportional to 594,024 and 787,680 is: 1,044,469.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,024 : 787,680 = 787,680 : x
  2. Step 2: Convert to fraction form
    594,024/787,680 = 787,680/x
  3. Step 3: Cross multiply
    594,024x = 787,680 × 787,680
  4. Step 4: Simplify right side
    594,024x = 620,439,782,400
  5. Step 5: Solve for x
    x = 620,439,782,400/594,024
  6. Step 6: Final answer
    x = 1,044,469.22

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.