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Finding the Third Proportional to 273,909.94 and 597,643.31

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Solution

The third proportional to 273,909.94 and 597,643.31 is: 1,303,996.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,909.94 : 597,643.31 = 597,643.31 : x
  2. Step 2: Convert to fraction form
    273,909.94/597,643.31 = 597,643.31/x
  3. Step 3: Cross multiply
    273,909.94x = 597,643.31 × 597,643.31
  4. Step 4: Simplify right side
    273,909.94x = 357,177,528,975.97
  5. Step 5: Solve for x
    x = 357,177,528,975.97/273,909.94
  6. Step 6: Final answer
    x = 1,303,996.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.