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Finding the Third Proportional to 294,850.13 and 693,111.94

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Solution

The third proportional to 294,850.13 and 693,111.94 is: 1,629,316.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,850.13 : 693,111.94 = 693,111.94 : x
  2. Step 2: Convert to fraction form
    294,850.13/693,111.94 = 693,111.94/x
  3. Step 3: Cross multiply
    294,850.13x = 693,111.94 × 693,111.94
  4. Step 4: Simplify right side
    294,850.13x = 480,404,157,905.00
  5. Step 5: Solve for x
    x = 480,404,157,905.00/294,850.13
  6. Step 6: Final answer
    x = 1,629,316.45

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.