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Finding the Third Proportional to 468,291.38 and 669,176.44

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Solution

The third proportional to 468,291.38 and 669,176.44 is: 956,236.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,291.38 : 669,176.44 = 669,176.44 : x
  2. Step 2: Convert to fraction form
    468,291.38/669,176.44 = 669,176.44/x
  3. Step 3: Cross multiply
    468,291.38x = 669,176.44 × 669,176.44
  4. Step 4: Simplify right side
    468,291.38x = 447,797,104,505.19
  5. Step 5: Solve for x
    x = 447,797,104,505.19/468,291.38
  6. Step 6: Final answer
    x = 956,236.07

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.