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Finding the Third Proportional to 243,634.50 and 586,939.50

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Solution

The third proportional to 243,634.50 and 586,939.50 is: 1,413,995.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,634.50 : 586,939.50 = 586,939.50 : x
  2. Step 2: Convert to fraction form
    243,634.50/586,939.50 = 586,939.50/x
  3. Step 3: Cross multiply
    243,634.50x = 586,939.50 × 586,939.50
  4. Step 4: Simplify right side
    243,634.50x = 344,497,976,660.25
  5. Step 5: Solve for x
    x = 344,497,976,660.25/243,634.50
  6. Step 6: Final answer
    x = 1,413,995.05

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.