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Finding the Third Proportional to 344,817 and 832,153.50

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Solution

The third proportional to 344,817 and 832,153.50 is: 2,008,252.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,817 : 832,153.50 = 832,153.50 : x
  2. Step 2: Convert to fraction form
    344,817/832,153.50 = 832,153.50/x
  3. Step 3: Cross multiply
    344,817x = 832,153.50 × 832,153.50
  4. Step 4: Simplify right side
    344,817x = 692,479,447,562.25
  5. Step 5: Solve for x
    x = 692,479,447,562.25/344,817
  6. Step 6: Final answer
    x = 2,008,252.05

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.