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Finding the Third Proportional to 293,133.82 and 437,975.18

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Solution

The third proportional to 293,133.82 and 437,975.18 is: 654,384.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,133.82 : 437,975.18 = 437,975.18 : x
  2. Step 2: Convert to fraction form
    293,133.82/437,975.18 = 437,975.18/x
  3. Step 3: Cross multiply
    293,133.82x = 437,975.18 × 437,975.18
  4. Step 4: Simplify right side
    293,133.82x = 191,822,260,107.40
  5. Step 5: Solve for x
    x = 191,822,260,107.40/293,133.82
  6. Step 6: Final answer
    x = 654,384.61

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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.