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Finding the Third Proportional to 453,853.50 and 616,680

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Solution

The third proportional to 453,853.50 and 616,680 is: 837,922.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,853.50 : 616,680 = 616,680 : x
  2. Step 2: Convert to fraction form
    453,853.50/616,680 = 616,680/x
  3. Step 3: Cross multiply
    453,853.50x = 616,680 × 616,680
  4. Step 4: Simplify right side
    453,853.50x = 380,294,222,400
  5. Step 5: Solve for x
    x = 380,294,222,400/453,853.50
  6. Step 6: Final answer
    x = 837,922.86

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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.