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Finding the Third Proportional to 475,232.06 and 989,784.56

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Solution

The third proportional to 475,232.06 and 989,784.56 is: 2,061,463.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,232.06 : 989,784.56 = 989,784.56 : x
  2. Step 2: Convert to fraction form
    475,232.06/989,784.56 = 989,784.56/x
  3. Step 3: Cross multiply
    475,232.06x = 989,784.56 × 989,784.56
  4. Step 4: Simplify right side
    475,232.06x = 979,673,480,163.32
  5. Step 5: Solve for x
    x = 979,673,480,163.32/475,232.06
  6. Step 6: Final answer
    x = 2,061,463.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.