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Finding the Third Proportional to 406,437.75 and 837,474.75

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Solution

The third proportional to 406,437.75 and 837,474.75 is: 1,725,636.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,437.75 : 837,474.75 = 837,474.75 : x
  2. Step 2: Convert to fraction form
    406,437.75/837,474.75 = 837,474.75/x
  3. Step 3: Cross multiply
    406,437.75x = 837,474.75 × 837,474.75
  4. Step 4: Simplify right side
    406,437.75x = 701,363,956,887.56
  5. Step 5: Solve for x
    x = 701,363,956,887.56/406,437.75
  6. Step 6: Final answer
    x = 1,725,636.85

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.