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Finding the Third Proportional to 385,980.19 and 846,728.44

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Solution

The third proportional to 385,980.19 and 846,728.44 is: 1,857,476.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,980.19 : 846,728.44 = 846,728.44 : x
  2. Step 2: Convert to fraction form
    385,980.19/846,728.44 = 846,728.44/x
  3. Step 3: Cross multiply
    385,980.19x = 846,728.44 × 846,728.44
  4. Step 4: Simplify right side
    385,980.19x = 716,949,046,871.19
  5. Step 5: Solve for x
    x = 716,949,046,871.19/385,980.19
  6. Step 6: Final answer
    x = 1,857,476.29

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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.