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Finding the Third Proportional to 291,432.94 and 686,976.19

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Solution

The third proportional to 291,432.94 and 686,976.19 is: 1,619,364.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,432.94 : 686,976.19 = 686,976.19 : x
  2. Step 2: Convert to fraction form
    291,432.94/686,976.19 = 686,976.19/x
  3. Step 3: Cross multiply
    291,432.94x = 686,976.19 × 686,976.19
  4. Step 4: Simplify right side
    291,432.94x = 471,936,282,192.04
  5. Step 5: Solve for x
    x = 471,936,282,192.04/291,432.94
  6. Step 6: Final answer
    x = 1,619,364.94

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.