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Finding the Third Proportional to 447,813.56 and 658,507.22

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Solution

The third proportional to 447,813.56 and 658,507.22 is: 968,331.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,813.56 : 658,507.22 = 658,507.22 : x
  2. Step 2: Convert to fraction form
    447,813.56/658,507.22 = 658,507.22/x
  3. Step 3: Cross multiply
    447,813.56x = 658,507.22 × 658,507.22
  4. Step 4: Simplify right side
    447,813.56x = 433,631,757,145.86
  5. Step 5: Solve for x
    x = 433,631,757,145.86/447,813.56
  6. Step 6: Final answer
    x = 968,331.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.