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Finding the Third Proportional to 385,823.25 and 846,348.75

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Solution

The third proportional to 385,823.25 and 846,348.75 is: 1,856,565.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,823.25 : 846,348.75 = 846,348.75 : x
  2. Step 2: Convert to fraction form
    385,823.25/846,348.75 = 846,348.75/x
  3. Step 3: Cross multiply
    385,823.25x = 846,348.75 × 846,348.75
  4. Step 4: Simplify right side
    385,823.25x = 716,306,206,626.56
  5. Step 5: Solve for x
    x = 716,306,206,626.56/385,823.25
  6. Step 6: Final answer
    x = 1,856,565.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.