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Finding the Third Proportional to 294,414.75 and 453,083.63

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Solution

The third proportional to 294,414.75 and 453,083.63 is: 697,263.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,414.75 : 453,083.63 = 453,083.63 : x
  2. Step 2: Convert to fraction form
    294,414.75/453,083.63 = 453,083.63/x
  3. Step 3: Cross multiply
    294,414.75x = 453,083.63 × 453,083.63
  4. Step 4: Simplify right side
    294,414.75x = 205,284,771,243.14
  5. Step 5: Solve for x
    x = 205,284,771,243.14/294,414.75
  6. Step 6: Final answer
    x = 697,263.88

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.