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Finding the Third Proportional to 453,834 and 602,016.75

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Solution

The third proportional to 453,834 and 602,016.75 is: 798,583.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,834 : 602,016.75 = 602,016.75 : x
  2. Step 2: Convert to fraction form
    453,834/602,016.75 = 602,016.75/x
  3. Step 3: Cross multiply
    453,834x = 602,016.75 × 602,016.75
  4. Step 4: Simplify right side
    453,834x = 362,424,167,280.56
  5. Step 5: Solve for x
    x = 362,424,167,280.56/453,834
  6. Step 6: Final answer
    x = 798,583.11

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.