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Finding the Third Proportional to 360,007 and 464,558

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Solution

The third proportional to 360,007 and 464,558 is: 599,472.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,007 : 464,558 = 464,558 : x
  2. Step 2: Convert to fraction form
    360,007/464,558 = 464,558/x
  3. Step 3: Cross multiply
    360,007x = 464,558 × 464,558
  4. Step 4: Simplify right side
    360,007x = 215,814,135,364
  5. Step 5: Solve for x
    x = 215,814,135,364/360,007
  6. Step 6: Final answer
    x = 599,472.05

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.