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Finding the Third Proportional to 427,664.81 and 597,900.38

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Solution

The third proportional to 427,664.81 and 597,900.38 is: 835,899.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,664.81 : 597,900.38 = 597,900.38 : x
  2. Step 2: Convert to fraction form
    427,664.81/597,900.38 = 597,900.38/x
  3. Step 3: Cross multiply
    427,664.81x = 597,900.38 × 597,900.38
  4. Step 4: Simplify right side
    427,664.81x = 357,484,858,425.14
  5. Step 5: Solve for x
    x = 357,484,858,425.14/427,664.81
  6. Step 6: Final answer
    x = 835,899.63

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.