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Finding the Third Proportional to 351,784.50 and 829,606

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Solution

The third proportional to 351,784.50 and 829,606 is: 1,956,442.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,784.50 : 829,606 = 829,606 : x
  2. Step 2: Convert to fraction form
    351,784.50/829,606 = 829,606/x
  3. Step 3: Cross multiply
    351,784.50x = 829,606 × 829,606
  4. Step 4: Simplify right side
    351,784.50x = 688,246,115,236
  5. Step 5: Solve for x
    x = 688,246,115,236/351,784.50
  6. Step 6: Final answer
    x = 1,956,442.41

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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.