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Finding the Third Proportional to 308,858.06 and 460,581.19

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Solution

The third proportional to 308,858.06 and 460,581.19 is: 686,836.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,858.06 : 460,581.19 = 460,581.19 : x
  2. Step 2: Convert to fraction form
    308,858.06/460,581.19 = 460,581.19/x
  3. Step 3: Cross multiply
    308,858.06x = 460,581.19 × 460,581.19
  4. Step 4: Simplify right side
    308,858.06x = 212,135,030,278.91
  5. Step 5: Solve for x
    x = 212,135,030,278.91/308,858.06
  6. Step 6: Final answer
    x = 686,836.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.