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Finding the Third Proportional to 385,663.50 and 837,667.50

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Solution

The third proportional to 385,663.50 and 837,667.50 is: 1,819,427.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,663.50 : 837,667.50 = 837,667.50 : x
  2. Step 2: Convert to fraction form
    385,663.50/837,667.50 = 837,667.50/x
  3. Step 3: Cross multiply
    385,663.50x = 837,667.50 × 837,667.50
  4. Step 4: Simplify right side
    385,663.50x = 701,686,840,556.25
  5. Step 5: Solve for x
    x = 701,686,840,556.25/385,663.50
  6. Step 6: Final answer
    x = 1,819,427.66

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.