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Finding the Third Proportional to 299,912.63 and 633,541.50

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Solution

The third proportional to 299,912.63 and 633,541.50 is: 1,338,305.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,912.63 : 633,541.50 = 633,541.50 : x
  2. Step 2: Convert to fraction form
    299,912.63/633,541.50 = 633,541.50/x
  3. Step 3: Cross multiply
    299,912.63x = 633,541.50 × 633,541.50
  4. Step 4: Simplify right side
    299,912.63x = 401,374,832,222.25
  5. Step 5: Solve for x
    x = 401,374,832,222.25/299,912.63
  6. Step 6: Final answer
    x = 1,338,305.89

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.