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Finding the Third Proportional to 351,803.25 and 829,652.63

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Solution

The third proportional to 351,803.25 and 829,652.63 is: 1,956,558.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,803.25 : 829,652.63 = 829,652.63 : x
  2. Step 2: Convert to fraction form
    351,803.25/829,652.63 = 829,652.63/x
  3. Step 3: Cross multiply
    351,803.25x = 829,652.63 × 829,652.63
  4. Step 4: Simplify right side
    351,803.25x = 688,323,478,169.39
  5. Step 5: Solve for x
    x = 688,323,478,169.39/351,803.25
  6. Step 6: Final answer
    x = 1,956,558.04

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.