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Finding the Third Proportional to 460,305 and 984,576

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Solution

The third proportional to 460,305 and 984,576 is: 2,105,973.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,305 : 984,576 = 984,576 : x
  2. Step 2: Convert to fraction form
    460,305/984,576 = 984,576/x
  3. Step 3: Cross multiply
    460,305x = 984,576 × 984,576
  4. Step 4: Simplify right side
    460,305x = 969,389,899,776
  5. Step 5: Solve for x
    x = 969,389,899,776/460,305
  6. Step 6: Final answer
    x = 2,105,973.00

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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.