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Finding the Third Proportional to 460,377 and 984,703.50

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Solution

The third proportional to 460,377 and 984,703.50 is: 2,106,189.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,377 : 984,703.50 = 984,703.50 : x
  2. Step 2: Convert to fraction form
    460,377/984,703.50 = 984,703.50/x
  3. Step 3: Cross multiply
    460,377x = 984,703.50 × 984,703.50
  4. Step 4: Simplify right side
    460,377x = 969,640,982,912.25
  5. Step 5: Solve for x
    x = 969,640,982,912.25/460,377
  6. Step 6: Final answer
    x = 2,106,189.02

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