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Finding the Third Proportional to 351,864 and 829,804.50

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Solution

The third proportional to 351,864 and 829,804.50 is: 1,956,936.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,864 : 829,804.50 = 829,804.50 : x
  2. Step 2: Convert to fraction form
    351,864/829,804.50 = 829,804.50/x
  3. Step 3: Cross multiply
    351,864x = 829,804.50 × 829,804.50
  4. Step 4: Simplify right side
    351,864x = 688,575,508,220.25
  5. Step 5: Solve for x
    x = 688,575,508,220.25/351,864
  6. Step 6: Final answer
    x = 1,956,936.51

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Why These Related Problems?

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