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Finding the Third Proportional to 460,276.50 and 984,522

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Solution

The third proportional to 460,276.50 and 984,522 is: 2,105,872.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,276.50 : 984,522 = 984,522 : x
  2. Step 2: Convert to fraction form
    460,276.50/984,522 = 984,522/x
  3. Step 3: Cross multiply
    460,276.50x = 984,522 × 984,522
  4. Step 4: Simplify right side
    460,276.50x = 969,283,568,484
  5. Step 5: Solve for x
    x = 969,283,568,484/460,276.50
  6. Step 6: Final answer
    x = 2,105,872.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.