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Finding the Third Proportional to 308,426.80 and 460,073.04

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Solution

The third proportional to 308,426.80 and 460,073.04 is: 686,280.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,426.80 : 460,073.04 = 460,073.04 : x
  2. Step 2: Convert to fraction form
    308,426.80/460,073.04 = 460,073.04/x
  3. Step 3: Cross multiply
    308,426.80x = 460,073.04 × 460,073.04
  4. Step 4: Simplify right side
    308,426.80x = 211,667,201,272.21
  5. Step 5: Solve for x
    x = 211,667,201,272.21/308,426.80
  6. Step 6: Final answer
    x = 686,280.18

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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.