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Finding the Third Proportional to 453,874.50 and 616,713.75

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Solution

The third proportional to 453,874.50 and 616,713.75 is: 837,975.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,874.50 : 616,713.75 = 616,713.75 : x
  2. Step 2: Convert to fraction form
    453,874.50/616,713.75 = 616,713.75/x
  3. Step 3: Cross multiply
    453,874.50x = 616,713.75 × 616,713.75
  4. Step 4: Simplify right side
    453,874.50x = 380,335,849,439.06
  5. Step 5: Solve for x
    x = 380,335,849,439.06/453,874.50
  6. Step 6: Final answer
    x = 837,975.80

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.