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Finding the Third Proportional to 389,854.50 and 846,412.50

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Solution

The third proportional to 389,854.50 and 846,412.50 is: 1,837,644.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,854.50 : 846,412.50 = 846,412.50 : x
  2. Step 2: Convert to fraction form
    389,854.50/846,412.50 = 846,412.50/x
  3. Step 3: Cross multiply
    389,854.50x = 846,412.50 × 846,412.50
  4. Step 4: Simplify right side
    389,854.50x = 716,414,120,156.25
  5. Step 5: Solve for x
    x = 716,414,120,156.25/389,854.50
  6. Step 6: Final answer
    x = 1,837,644.87

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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.