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Finding the Third Proportional to 253,162.41 and 597,614.06

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Solution

The third proportional to 253,162.41 and 597,614.06 is: 1,410,725.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,162.41 : 597,614.06 = 597,614.06 : x
  2. Step 2: Convert to fraction form
    253,162.41/597,614.06 = 597,614.06/x
  3. Step 3: Cross multiply
    253,162.41x = 597,614.06 × 597,614.06
  4. Step 4: Simplify right side
    253,162.41x = 357,142,567,697.75
  5. Step 5: Solve for x
    x = 357,142,567,697.75/253,162.41
  6. Step 6: Final answer
    x = 1,410,725.13

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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.