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Finding the Third Proportional to 385,825 and 846,353

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Solution

The third proportional to 385,825 and 846,353 is: 1,856,575.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,825 : 846,353 = 846,353 : x
  2. Step 2: Convert to fraction form
    385,825/846,353 = 846,353/x
  3. Step 3: Cross multiply
    385,825x = 846,353 × 846,353
  4. Step 4: Simplify right side
    385,825x = 716,313,400,609
  5. Step 5: Solve for x
    x = 716,313,400,609/385,825
  6. Step 6: Final answer
    x = 1,856,575.91

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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.