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Finding the Third Proportional to 457,923 and 700,480.50

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Solution

The third proportional to 457,923 and 700,480.50 is: 1,071,518.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,923 : 700,480.50 = 700,480.50 : x
  2. Step 2: Convert to fraction form
    457,923/700,480.50 = 700,480.50/x
  3. Step 3: Cross multiply
    457,923x = 700,480.50 × 700,480.50
  4. Step 4: Simplify right side
    457,923x = 490,672,930,880.25
  5. Step 5: Solve for x
    x = 490,672,930,880.25/457,923
  6. Step 6: Final answer
    x = 1,071,518.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.