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Finding the Third Proportional to 350,502.19 and 762,513.75

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Solution

The third proportional to 350,502.19 and 762,513.75 is: 1,658,840.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,502.19 : 762,513.75 = 762,513.75 : x
  2. Step 2: Convert to fraction form
    350,502.19/762,513.75 = 762,513.75/x
  3. Step 3: Cross multiply
    350,502.19x = 762,513.75 × 762,513.75
  4. Step 4: Simplify right side
    350,502.19x = 581,427,218,939.06
  5. Step 5: Solve for x
    x = 581,427,218,939.06/350,502.19
  6. Step 6: Final answer
    x = 1,658,840.49

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.