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Finding the Third Proportional to 453,872.25 and 616,711.50

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Solution

The third proportional to 453,872.25 and 616,711.50 is: 837,973.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,872.25 : 616,711.50 = 616,711.50 : x
  2. Step 2: Convert to fraction form
    453,872.25/616,711.50 = 616,711.50/x
  3. Step 3: Cross multiply
    453,872.25x = 616,711.50 × 616,711.50
  4. Step 4: Simplify right side
    453,872.25x = 380,333,074,232.25
  5. Step 5: Solve for x
    x = 380,333,074,232.25/453,872.25
  6. Step 6: Final answer
    x = 837,973.84

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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.