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Finding the Third Proportional to 351,796.50 and 829,602

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Solution

The third proportional to 351,796.50 and 829,602 is: 1,956,356.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,796.50 : 829,602 = 829,602 : x
  2. Step 2: Convert to fraction form
    351,796.50/829,602 = 829,602/x
  3. Step 3: Cross multiply
    351,796.50x = 829,602 × 829,602
  4. Step 4: Simplify right side
    351,796.50x = 688,239,478,404
  5. Step 5: Solve for x
    x = 688,239,478,404/351,796.50
  6. Step 6: Final answer
    x = 1,956,356.81

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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.