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Finding the Third Proportional to 385,831 and 846,364

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Solution

The third proportional to 385,831 and 846,364 is: 1,856,595.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,831 : 846,364 = 846,364 : x
  2. Step 2: Convert to fraction form
    385,831/846,364 = 846,364/x
  3. Step 3: Cross multiply
    385,831x = 846,364 × 846,364
  4. Step 4: Simplify right side
    385,831x = 716,332,020,496
  5. Step 5: Solve for x
    x = 716,332,020,496/385,831
  6. Step 6: Final answer
    x = 1,856,595.30

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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.