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Finding the Third Proportional to 467,032.50 and 989,596.50

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Solution

The third proportional to 467,032.50 and 989,596.50 is: 2,096,858.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,032.50 : 989,596.50 = 989,596.50 : x
  2. Step 2: Convert to fraction form
    467,032.50/989,596.50 = 989,596.50/x
  3. Step 3: Cross multiply
    467,032.50x = 989,596.50 × 989,596.50
  4. Step 4: Simplify right side
    467,032.50x = 979,301,232,812.25
  5. Step 5: Solve for x
    x = 979,301,232,812.25/467,032.50
  6. Step 6: Final answer
    x = 2,096,858.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.