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Finding the Third Proportional to 447,842.25 and 658,550.25

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Solution

The third proportional to 447,842.25 and 658,550.25 is: 968,395.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,842.25 : 658,550.25 = 658,550.25 : x
  2. Step 2: Convert to fraction form
    447,842.25/658,550.25 = 658,550.25/x
  3. Step 3: Cross multiply
    447,842.25x = 658,550.25 × 658,550.25
  4. Step 4: Simplify right side
    447,842.25x = 433,688,431,775.06
  5. Step 5: Solve for x
    x = 433,688,431,775.06/447,842.25
  6. Step 6: Final answer
    x = 968,395.53

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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.