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Finding the Third Proportional to 654,208 and 984,560

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Solution

The third proportional to 654,208 and 984,560 is: 1,481,728.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,208 : 984,560 = 984,560 : x
  2. Step 2: Convert to fraction form
    654,208/984,560 = 984,560/x
  3. Step 3: Cross multiply
    654,208x = 984,560 × 984,560
  4. Step 4: Simplify right side
    654,208x = 969,358,393,600
  5. Step 5: Solve for x
    x = 969,358,393,600/654,208
  6. Step 6: Final answer
    x = 1,481,728.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.